104432640 has 176 divisors, whose sum is σ = 360403008. Its totient is φ = 25657344.

The previous prime is 104432639. The next prime is 104432651. The reversal of 104432640 is 46234401.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104432640.

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, 199419 + ... + 199941.

Almost surely, 2^104432640 is an apocalyptic number.

104432640 is a gapful number since it is divisible by the number (10) 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 104432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180201504).

104432640 is an abundant number, since it is smaller than the sum of its proper divisors (255970368).

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

104432640 is a wasteful number, since it uses less digits than its factorization.

104432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 104432640 is about 10219.2289337308. The cubic root of 104432640 is about 470.9181388648.

The spelling of 104432640 in words is "one hundred four million, four hundred thirty-two thousand, six hundred forty".