104407524 has 81 divisors (see below), whose sum is σ = 287980329. Its totient is φ = 31880160.

The previous prime is 104407519. The next prime is 104407547. The reversal of 104407524 is 425704401.

The square root of 104407524 is 10218.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15444900 + 88962624 = 3930^2 + 9432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 796939 + ... + 797069.

Almost surely, 2^104407524 is an apocalyptic number.

104407524 is the 10218-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104407524

104407524 is an abundant number, since it is smaller than the sum of its proper divisors (183572805).

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

104407524 is a wasteful number, since it uses less digits than its factorization.

104407524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The cubic root of 104407524 is about 470.8803839755.

The spelling of 104407524 in words is "one hundred four million, four hundred seven thousand, five hundred twenty-four".