104414664 has 128 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 31519488.

The previous prime is 104414647. The next prime is 104414677. The reversal of 104414664 is 466414401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257967 + ... + 1258049.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^104414664 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 104414664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

104414664 is an abundant number, since it is smaller than the sum of its proper divisors (182986296).

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

104414664 is a wasteful number, since it uses less digits than its factorization.

104414664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 104414664 is about 10218.3493774680. The cubic root of 104414664 is about 470.8911175867.

The spelling of 104414664 in words is "one hundred four million, four hundred fourteen thousand, six hundred sixty-four".