104638032 has 60 divisors (see below), whose sum is σ = 302951220. Its totient is φ = 33675264.

The previous prime is 104638007. The next prime is 104638057. The reversal of 104638032 is 230836401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104638007) and next prime (104638057).

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 65999376 = 6216^2 + 8124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104637987 and 104638005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8353 + ... + 16704.

It is an arithmetic number, because the mean of its divisors is an integer number (5049187).

Almost surely, 2^104638032 is an apocalyptic number.

104638032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104638032 is an abundant number, since it is smaller than the sum of its proper divisors (198313188).

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

104638032 is a wasteful number, since it uses less digits than its factorization.

104638032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25100 (or 25091 counting only the distinct ones).

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

The square root of 104638032 is about 10229.2732879711. The cubic root of 104638032 is about 471.2266614300.

The spelling of 104638032 in words is "one hundred four million, six hundred thirty-eight thousand, thirty-two".