109957008 has 80 divisors (see below), whose sum is σ = 328371840. Its totient is φ = 31054848.

The previous prime is 109956947. The next prime is 109957049. The reversal of 109957008 is 800759901.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28066 + ... + 31742.

It is an arithmetic number, because the mean of its divisors is an integer number (4104648).

Almost surely, 2^109957008 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 109957008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164185920).

109957008 is an abundant number, since it is smaller than the sum of its proper divisors (218414832).

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

109957008 is a wasteful number, since it uses less digits than its factorization.

109957008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 109957008 is about 10486.0387182196. The cubic root of 109957008 is about 479.0795555351.

The spelling of 109957008 in words is "one hundred nine million, nine hundred fifty-seven thousand, eight".