109964864 has 28 divisors (see below), whose sum is σ = 221210124. Its totient is φ = 54226944.

The previous prime is 109964821. The next prime is 109964873. The reversal of 109964864 is 468469901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49000000 + 60964864 = 7000^2 + 7808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7097 + ... + 16440.

Almost surely, 2^109964864 is an apocalyptic number.

It is an amenable number.

109964864 is an abundant number, since it is smaller than the sum of its proper divisors (111245260).

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

109964864 is an equidigital number, since it uses as much as digits as its factorization.

109964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23622 (or 23612 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 109964864 is about 10486.4133048436. The cubic root of 109964864 is about 479.0909647196.

The spelling of 109964864 in words is "one hundred nine million, nine hundred sixty-four thousand, eight hundred sixty-four".