103809664 has 32 divisors (see below), whose sum is σ = 236354400. Its totient is φ = 44489472.

The previous prime is 103809661. The next prime is 103809709. The reversal of 103809664 is 466908301.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (103809661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57034 + ... + 58825.

It is an arithmetic number, because the mean of its divisors is an integer number (7386075).

Almost surely, 2^103809664 is an apocalyptic number.

103809664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103809664 is an abundant number, since it is smaller than the sum of its proper divisors (132544736).

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

103809664 is an equidigital number, since it uses as much as digits as its factorization.

103809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115880 (or 115868 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 103809664 is about 10188.7027633551. The cubic root of 103809664 is about 469.9798754021.

The spelling of 103809664 in words is "one hundred three million, eight hundred nine thousand, six hundred sixty-four".