104732864 has 56 divisors (see below), whose sum is σ = 223967040. Its totient is φ = 48432384.

The previous prime is 104732827. The next prime is 104732867. The reversal of 104732864 is 468237401.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (104732867) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51287 + ... + 53289.

Almost surely, 2^104732864 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 104732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111983520).

104732864 is an abundant number, since it is smaller than the sum of its proper divisors (119234176).

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

104732864 is a wasteful number, since it uses less digits than its factorization.

104732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 104732864 is about 10233.9075626077. The cubic root of 104732864 is about 471.3689738470.

The spelling of 104732864 in words is "one hundred four million, seven hundred thirty-two thousand, eight hundred sixty-four".