109923264 has 112 divisors (see below), whose sum is σ = 352592640. Its totient is φ = 33304320.

The previous prime is 109923259. The next prime is 109923293. The reversal of 109923264 is 462329901.

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

It is a congruent 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, 16117 + ... + 21899.

Almost surely, 2^109923264 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 109923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176296320).

109923264 is an abundant number, since it is smaller than the sum of its proper divisors (242669376).

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

109923264 is a wasteful number, since it uses less digits than its factorization.

109923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 109923264 is about 10484.4295982185. The cubic root of 109923264 is about 479.0305433051.

The spelling of 109923264 in words is "one hundred nine million, nine hundred twenty-three thousand, two hundred sixty-four".