104436864 has 160 divisors (see below), whose sum is σ = 355449600. Its totient is φ = 29818368.

The previous prime is 104436851. The next prime is 104436883. The reversal of 104436864 is 468634401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71857 + ... + 73295.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2^104436864 is an apocalyptic number.

104436864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).

104436864 is an abundant number, since it is smaller than the sum of its proper divisors (251012736).

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

104436864 is an equidigital number, since it uses as much as digits as its factorization.

104436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 104436864 is about 10219.4356008539. The cubic root of 104436864 is about 470.9244878740.

The spelling of 104436864 in words is "one hundred four million, four hundred thirty-six thousand, eight hundred sixty-four".