104314624 has 36 divisors (see below), whose sum is σ = 215417160. Its totient is φ = 50355200.

The previous prime is 104314607. The next prime is 104314627. The reversal of 104314624 is 426413401.

It is a super-2 number, since 2×104314624² = 21763081560522752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104314627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 399 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (5983810).

Almost surely, 2^104314624 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 104314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107708580).

104314624 is an abundant number, since it is smaller than the sum of its proper divisors (111102536).

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

104314624 is an equidigital number, since it uses as much as digits as its factorization.

104314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 104314624 is about 10213.4530889411. The cubic root of 104314624 is about 470.7406821390.

The spelling of 104314624 in words is "one hundred four million, three hundred fourteen thousand, six hundred twenty-four".