104375040 has 288 divisors, whose sum is σ = 416779776. Its totient is φ = 21626880.

The previous prime is 104375009. The next prime is 104375099. The reversal of 104375040 is 40573401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104375040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295504 + ... + 295856.

It is an arithmetic number, because the mean of its divisors is an integer number (1447152).

Almost surely, 2^104375040 is an apocalyptic number.

104375040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208389888).

104375040 is an abundant number, since it is smaller than the sum of its proper divisors (312404736).

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

104375040 is a wasteful number, since it uses less digits than its factorization.

104375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 104375040 is about 10216.4103284862. The cubic root of 104375040 is about 470.8315443759.

104375040 divided by its product of nonzero digits (1680) gives a triangular number (62128 = T₃₅₂).

The spelling of 104375040 in words is "one hundred four million, three hundred seventy-five thousand, forty".