107965664 has 24 divisors (see below), whose sum is σ = 216571320. Its totient is φ = 52963456.

The previous prime is 107965651. The next prime is 107965679. The reversal of 107965664 is 466569701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30134 + ... + 33525.

It is an arithmetic number, because the mean of its divisors is an integer number (9023805).

Almost surely, 2^107965664 is an apocalyptic number.

It is an amenable number.

107965664 is an abundant number, since it is smaller than the sum of its proper divisors (108605656).

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

107965664 is an equidigital number, since it uses as much as digits as its factorization.

107965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63722 (or 63714 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 107965664 is about 10390.6527225194. The cubic root of 107965664 is about 476.1698426463.

The spelling of 107965664 in words is "one hundred seven million, nine hundred sixty-five thousand, six hundred sixty-four".