104413824 has 96 divisors (see below), whose sum is σ = 302526900. Its totient is φ = 34566144.

The previous prime is 104413823. The next prime is 104413831. The reversal of 104413824 is 428314401.

It can be written as a sum of positive squares in 2 ways, for example, as 95413824 + 9000000 = 9768^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (104413823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268222 + ... + 268610.

Almost surely, 2^104413824 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 104413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151263450).

104413824 is an abundant number, since it is smaller than the sum of its proper divisors (198113076).

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

104413824 is a wasteful number, since it uses less digits than its factorization.

104413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104413824 is about 10218.3082748565. The cubic root of 104413824 is about 470.8898548343.

The spelling of 104413824 in words is "one hundred four million, four hundred thirteen thousand, eight hundred twenty-four".