109553664 has 96 divisors (see below), whose sum is σ = 318820320. Its totient is φ = 33177600.

The previous prime is 109553657. The next prime is 109553683. The reversal of 109553664 is 466355901.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66774 + ... + 68394.

It is an arithmetic number, because the mean of its divisors is an integer number (3321045).

Almost surely, 2^109553664 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 109553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159410160).

109553664 is an abundant number, since it is smaller than the sum of its proper divisors (209266656).

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

109553664 is a wasteful number, since it uses less digits than its factorization.

109553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 109553664 is about 10466.7886192471. The cubic root of 109553664 is about 478.4930517013.

The spelling of 109553664 in words is "one hundred nine million, five hundred fifty-three thousand, six hundred sixty-four".