104836032 has 224 divisors, whose sum is σ = 359907840. Its totient is φ = 29673216.

The previous prime is 104836019. The next prime is 104836033. The reversal of 104836032 is 230638401.

It is a happy number.

104836032 is a `hidden beast` number, since 10 + 48 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104835987 and 104836005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104836033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979723 + ... + 979829.

Almost surely, 2^104836032 is an apocalyptic number.

104836032 is a gapful number since it is divisible by the number (12) 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 104836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179953920).

104836032 is an abundant number, since it is smaller than the sum of its proper divisors (255071808).

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

104836032 is an frugal number, since it uses more digits than its factorization.

104836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104836032 is about 10238.9468208405. The cubic root of 104836032 is about 471.5236983951.

The spelling of 104836032 in words is "one hundred four million, eight hundred thirty-six thousand, thirty-two".