| Base | Representation |
|---|---|
| bin | 1100110100010… |
| … | …00100000000000 |
| 3 | 21111022021021200 |
| 4 | 12122020200000 |
| 5 | 210010420411 |
| 6 | 14400221200 |
| 7 | 2443565322 |
| oct | 632104000 |
| 9 | 244267250 |
| 10 | 107513856 |
| 11 | 5576382a |
| 12 | 3000a800 |
| 13 | 19374888 |
| 14 | 103c9612 |
| 15 | 968ae56 |
| hex | 6688800 |
107513856 has 144 divisors (see below), whose sum is σ = 327927600. Its totient is φ = 33841152.
The previous prime is 107513851. The next prime is 107513909. The reversal of 107513856 is 658315701.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 107513856.
It is not an unprimeable number, because it can be changed into a prime (107513851) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350055 + ... + 350361.
It is an arithmetic number, because the mean of its divisors is an integer number (2277275).
Almost surely, 2107513856 is an apocalyptic number.
107513856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163963800).
107513856 is an abundant number, since it is smaller than the sum of its proper divisors (220413744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107513856 is a wasteful number, since it uses less digits than its factorization.
107513856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 354 (or 331 counting only the distinct ones).
The product of its (nonzero) digits is 25200, while the sum is 36.
The square root of 107513856 is about 10368.8888507882. Note that the first 4 decimals coincide. The cubic root of 107513856 is about 475.5046986436.
The spelling of 107513856 in words is "one hundred seven million, five hundred thirteen thousand, eight hundred fifty-six".
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