107921664 has 108 divisors (see below), whose sum is σ = 321414912. Its totient is φ = 34790400.

The previous prime is 107921623. The next prime is 107921669. The reversal of 107921664 is 466129701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107921669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70669 + ... + 72179.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^107921664 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 107921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

107921664 is an abundant number, since it is smaller than the sum of its proper divisors (213493248).

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

107921664 is a wasteful number, since it uses less digits than its factorization.

107921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107921664 is about 10388.5352191731. The cubic root of 107921664 is about 476.1051482514.

The spelling of 107921664 in words is "one hundred seven million, nine hundred twenty-one thousand, six hundred sixty-four".