104832624 has 80 divisors (see below), whose sum is σ = 298508672. Its totient is φ = 31497984.

The previous prime is 104832583. The next prime is 104832631. The reversal of 104832624 is 426238401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 104832591 and 104832600.

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, 24879 + ... + 28785.

Almost surely, 2^104832624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104832624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149254336).

104832624 is an abundant number, since it is smaller than the sum of its proper divisors (193676048).

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

104832624 is a wasteful number, since it uses less digits than its factorization.

104832624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 104832624 is about 10238.7803961214. The cubic root of 104832624 is about 471.5185889235.

The spelling of 104832624 in words is "one hundred four million, eight hundred thirty-two thousand, six hundred twenty-four".