104382432 has 240 divisors, whose sum is σ = 383467392. Its totient is φ = 27060480.

The previous prime is 104382419. The next prime is 104382461. The reversal of 104382432 is 234283401.

It is a super-2 number, since 2×104382432² = 21791384220469248, which contains 22 as substring.

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 = 104382396 and 104382405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199323 + ... + 199845.

Almost surely, 2^104382432 is an apocalyptic number.

104382432 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 104382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191733696).

104382432 is an abundant number, since it is smaller than the sum of its proper divisors (279084960).

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

104382432 is a wasteful number, since it uses less digits than its factorization.

104382432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104382432 is about 10216.7720929851. The cubic root of 104382432 is about 470.8426591169.

The spelling of 104382432 in words is "one hundred four million, three hundred eighty-two thousand, four hundred thirty-two".