109664064 has 56 divisors (see below), whose sum is σ = 322397120. Its totient is φ = 36554112.

The previous prime is 109664033. The next prime is 109664101. The reversal of 109664064 is 460466901.

109664064 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 640 + 6 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30004 + ... + 33459.

Almost surely, 2^109664064 is an apocalyptic number.

It is an amenable number.

109664064 is an abundant number, since it is smaller than the sum of its proper divisors (212733056).

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

109664064 is an equidigital number, since it uses as much as digits as its factorization.

109664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63484 (or 63468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 109664064 is about 10472.0611151769. The cubic root of 109664064 is about 478.6537275939.

The spelling of 109664064 in words is "one hundred nine million, six hundred sixty-four thousand, sixty-four".