109692864 has 84 divisors (see below), whose sum is σ = 322975224. Its totient is φ = 35569152.

The previous prime is 109692853. The next prime is 109692887. The reversal of 109692864 is 468296901.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18739 + ... + 23885.

Almost surely, 2^109692864 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 109692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161487612).

109692864 is an abundant number, since it is smaller than the sum of its proper divisors (213282360).

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

109692864 is a wasteful number, since it uses less digits than its factorization.

109692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 109692864 is about 10473.4361123750. The cubic root of 109692864 is about 478.6956253079.

The spelling of 109692864 in words is "one hundred nine million, six hundred ninety-two thousand, eight hundred sixty-four".