104149904 has 20 divisors (see below), whose sum is σ = 208749660. Its totient is φ = 50279040.

The previous prime is 104149901. The next prime is 104149909. The reversal of 104149904 is 409941401.

It can be written as a sum of positive squares in 2 ways, for example, as 31899904 + 72250000 = 5648^2 + 8500^2 .

It is a super-3 number, since 3×104149904³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (104149901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111767 + ... + 112694.

It is an arithmetic number, because the mean of its divisors is an integer number (10437483).

Almost surely, 2^104149904 is an apocalyptic number.

It is an amenable number.

104149904 is an abundant number, since it is smaller than the sum of its proper divisors (104599756).

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

104149904 is a wasteful number, since it uses less digits than its factorization.

104149904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224498 (or 224492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 104149904 is about 10205.3860289555. The cubic root of 104149904 is about 470.4927742493.

The spelling of 104149904 in words is "one hundred four million, one hundred forty-nine thousand, nine hundred four".