107999 (number)
107,999 (one hundred seven thousand nine hundred ninetynine) is an odd sixdigits prime number following 107998 and preceding 108000. In scientific notation, it is written as 1.07999 × 10^{5}. The sum of its digits is 35. It has a total of 1 prime factor and 2 positive divisors. There are 107,998 positive integers (up to 107999) that are relatively prime to 107999.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 35
 Digital Root 8
Name
Short name  107 thousand 999 

Full name  one hundred seven thousand nine hundred ninetynine 
Notation
Scientific notation  1.07999 × 10^{5} 

Engineering notation  107.999 × 10^{3} 
Prime Factorization of 107999
Prime Factorization 107999
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  107999  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.589877246804  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 107,999 is 107999. Since it has a total of 1 prime factor, 107,999 is a prime number.
Divisors of 107999
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  108000  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  54000  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  328.63201304803  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999814814815  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 107,999 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 107,999) is 108,000, the average is 54,000.
Other Arithmetic Functions (n = 107999)
φ(n)  Euler Totient  107998  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  107998  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10253  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 107,998 positive integers (less than 107,999) that are coprime with 107,999. And there are approximately 10,253 prime numbers less than or equal to 107,999.
Divisibility of 107999
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  4  5  3  7  8 
107,999 is not divisible by any number less than or equal to 9.
Classification of 107999
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (107999)
Base  System  Value 

2  Binary  11010010111011111 
3  Ternary  12111010222 
4  Quaternary  122113133 
5  Quinary  11423444 
6  Senary  2151555 
8  Octal  322737 
10  Decimal  107999 
12  Duodecimal  525bb 
16  Hexadecimal  1a5df 
20  Vigesimal  d9jj 
36  Base36  2bbz 
Basic calculations (n = 107999)
Multiplication
n×yn×2  215998 

n×3  323997 
n×4  431996 
n×5  539995 
Division
n÷yn÷2  53999.500 

n÷3  35999.666 
n÷4  26999.750 
n÷5  21599.800 
Exponentiation
n^{y}n^{2}  11663784001 

n^{3}  1259677008323999 
n^{4}  136043857221983568001 
n^{5}  14692600536117003360539999 
Nth Root
^{y}√n^{2}√n  328.63201304803 

^{3}√n  47.621884577013 
^{4}√n  18.128210420448 
^{5}√n  10.155093978141 
107999 as geometric shapes
Circle
Radius = nDiameter  215998 

Circumference  678577.72999009 
Area  36642858130.6 
Sphere
Radius = nVolume  5.2765227136622E+15 

Surface area  146571432522.4 
Circumference  678577.72999009 
Square
Length = nPerimeter  431996 

Area  11663784001 
Diagonal  152733.65052273 
Cube
Length = nSurface area  69982704006 

Volume  1259677008323999 
Space diagonal  187059.75516663 
Equilateral Triangle
Length = nPerimeter  323997 

Area  5050566624.5603 
Altitude  93529.877583316 
Triangular Pyramid
Length = nSurface area  20202266498.241 

Volume  1.4845435911511E+14 
Height  88180.814243613 
Cryptographic Hash Functions
md5  214e2f40f3b1da8657aa4e375db704ec 

sha1  956160006ef52aae8a02c89a9352235ecdec53e1 
sha256  47e2867a5cafe65d7a3dc04d5b35bb465a6197c70b065bd20dd4a1873d98226d 
sha512  2bb0ff7126c9be1bca6af0d95880986bfdf5c45293c2548e98d149a5a80cce7037e8df0786d349b4d4cb5d86b1572a1e672beef6656fc841f47997b53cb0a7dd 
ripemd160  befc2e434b434c0f5ba104f62a944e4d236836a1 