104592384 has 220 divisors, whose sum is σ = 339826564. Its totient is φ = 31850496.

The previous prime is 104592361. The next prime is 104592391. The reversal of 104592384 is 483295401.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 74649600 = 5472^2 + 8640^2 .

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078224 + ... + 1078320.

Almost surely, 2^104592384 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 104592384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169913282).

104592384 is an abundant number, since it is smaller than the sum of its proper divisors (235234180).

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

104592384 is an equidigital number, since it uses as much as digits as its factorization.

104592384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 104592384 is about 10227.0418010293. The cubic root of 104592384 is about 471.1581277654.

It can be divided in two parts, 104592 and 384, that added together give a 4-th power (104976 = 18⁴).

The spelling of 104592384 in words is "one hundred four million, five hundred ninety-two thousand, three hundred eighty-four".