104125824 has 240 divisors, whose sum is σ = 344712060. Its totient is φ = 31173120.

The previous prime is 104125823. The next prime is 104125829. The reversal of 104125824 is 428521401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104125823) 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 29 ways as a sum of consecutive naturals, for example, 1254487 + ... + 1254569.

Almost surely, 2^104125824 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 104125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172356030).

104125824 is an abundant number, since it is smaller than the sum of its proper divisors (240586236).

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

104125824 is an equidigital number, since it uses as much as digits as its factorization.

104125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104125824 is about 10204.2061915663. The cubic root of 104125824 is about 470.4565113282.

The spelling of 104125824 in words is "one hundred four million, one hundred twenty-five thousand, eight hundred twenty-four".