104129664 has 64 divisors (see below), whose sum is σ = 277717440. Its totient is φ = 34569216.

The previous prime is 104129659. The next prime is 104129681. The reversal of 104129664 is 466921401.

It is a tau number, because it is divible by the number of its divisors (64).

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, 142869 + ... + 143595.

It is an arithmetic number, because the mean of its divisors is an integer number (4339335).

Almost surely, 2^104129664 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 104129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138858720).

104129664 is an abundant number, since it is smaller than the sum of its proper divisors (173587776).

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

104129664 is an equidigital number, since it uses as much as digits as its factorization.

104129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 104129664 is about 10204.3943475348. The cubic root of 104129664 is about 470.4622944943.

The spelling of 104129664 in words is "one hundred four million, one hundred twenty-nine thousand, six hundred sixty-four".