104377824 has 72 divisors (see below), whose sum is σ = 314299440. Its totient is φ = 32744448.

The previous prime is 104377817. The next prime is 104377843. The reversal of 104377824 is 428773401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5764 + ... + 15555.

It is an arithmetic number, because the mean of its divisors is an integer number (4365270).

Almost surely, 2^104377824 is an apocalyptic number.

It is an amenable number.

104377824 is an abundant number, since it is smaller than the sum of its proper divisors (209921616).

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

104377824 is a wasteful number, since it uses less digits than its factorization.

104377824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352 (or 21341 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 104377824 is about 10216.5465789571. The cubic root of 104377824 is about 470.8357305088.

The spelling of 104377824 in words is "one hundred four million, three hundred seventy-seven thousand, eight hundred twenty-four".