104891904 has 240 divisors, whose sum is σ = 348540192. Its totient is φ = 30081024.

The previous prime is 104891893. The next prime is 104891909. The reversal of 104891904 is 409198401.

104891904 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×104891904² = 22004623049490432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104891909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018317 + ... + 1018419.

Almost surely, 2^104891904 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 104891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

104891904 is an abundant number, since it is smaller than the sum of its proper divisors (243648288).

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

104891904 is a wasteful number, since it uses less digits than its factorization.

104891904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 104891904 is about 10241.6748630290. The cubic root of 104891904 is about 471.6074491590.

The spelling of 104891904 in words is "one hundred four million, eight hundred ninety-one thousand, nine hundred four".