107956836 has 72 divisors (see below), whose sum is σ = 295134840. Its totient is φ = 33076224.

The previous prime is 107956799. The next prime is 107956883. The reversal of 107956836 is 638659701.

It is a happy number.

107956836 is a `hidden beast` number, since 10 + 79 + 568 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 106502400 = 1206^2 + 10320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107956791 and 107956800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181756 + ... + 182348.

It is an arithmetic number, because the mean of its divisors is an integer number (4099095).

Almost surely, 2^107956836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107956836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147567420).

107956836 is an abundant number, since it is smaller than the sum of its proper divisors (187178004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107956836 is a wasteful number, since it uses less digits than its factorization.

107956836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 107956836 is about 10390.2279089537. The cubic root of 107956836 is about 476.1568640078.

The spelling of 107956836 in words is "one hundred seven million, nine hundred fifty-six thousand, eight hundred thirty-six".