109664880 has 80 divisors (see below), whose sum is σ = 366122400. Its totient is φ = 26993664.

The previous prime is 109664879. The next prime is 109664953. The reversal of 109664880 is 88466901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) 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 15 ways as a sum of consecutive naturals, for example, 14455 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (4576530).

Almost surely, 2^109664880 is an apocalyptic number.

109664880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109664880 is an abundant number, since it is smaller than the sum of its proper divisors (256457520).

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

109664880 is a wasteful number, since it uses less digits than its factorization.

109664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178 (or 35172 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 109664880 is about 10472.1000759160. The cubic root of 109664880 is about 478.6549147968.

The spelling of 109664880 in words is "one hundred nine million, six hundred sixty-four thousand, eight hundred eighty".