104395632 has 80 divisors (see below), whose sum is σ = 296254848. Its totient is φ = 31415040.

The previous prime is 104395609. The next prime is 104395649. The reversal of 104395632 is 236593401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 104395593 and 104395602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85458 + ... + 86670.

Almost surely, 2^104395632 is an apocalyptic number.

104395632 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 104395632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148127424).

104395632 is an abundant number, since it is smaller than the sum of its proper divisors (191859216).

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

104395632 is a wasteful number, since it uses less digits than its factorization.

104395632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 104395632 is about 10217.4180691601. The cubic root of 104395632 is about 470.8625055636.

The spelling of 104395632 in words is "one hundred four million, three hundred ninety-five thousand, six hundred thirty-two".