104409864 has 192 divisors, whose sum is σ = 332841600. Its totient is φ = 30139776.

The previous prime is 104409859. The next prime is 104409913. The reversal of 104409864 is 468904401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1013637 + ... + 1013739.

It is an arithmetic number, because the mean of its divisors is an integer number (1733550).

Almost surely, 2^104409864 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 104409864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

104409864 is an abundant number, since it is smaller than the sum of its proper divisors (228431736).

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

104409864 is a wasteful number, since it uses less digits than its factorization.

104409864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104409864 is about 10218.1145031752. The cubic root of 104409864 is about 470.8839017675.

The spelling of 104409864 in words is "one hundred four million, four hundred nine thousand, eight hundred sixty-four".