104838624 has 120 divisors (see below), whose sum is σ = 336448728. Its totient is φ = 31760640.

The previous prime is 104838619. The next prime is 104838661. The reversal of 104838624 is 426838401.

It is a super-2 number, since 2×104838624² = 21982274164426752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26674 + ... + 30350.

Almost surely, 2^104838624 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 104838624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168224364).

104838624 is an abundant number, since it is smaller than the sum of its proper divisors (231610104).

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

104838624 is a wasteful number, since it uses less digits than its factorization.

104838624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104838624 is about 10239.0733955764. The cubic root of 104838624 is about 471.5275843979.

The spelling of 104838624 in words is "one hundred four million, eight hundred thirty-eight thousand, six hundred twenty-four".