104658912 has 96 divisors (see below), whose sum is σ = 315856800. Its totient is φ = 33675264.

The previous prime is 104658907. The next prime is 104658923. The reversal of 104658912 is 219856401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×104658912² = 21906975722047488, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22968 + ... + 27144.

It is an arithmetic number, because the mean of its divisors is an integer number (3290175).

Almost surely, 2^104658912 is an apocalyptic number.

104658912 is a gapful number since it is divisible by the number (12) 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 104658912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157928400).

104658912 is an abundant number, since it is smaller than the sum of its proper divisors (211197888).

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

104658912 is a wasteful number, since it uses less digits than its factorization.

104658912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 104658912 is about 10230.2938374223. The cubic root of 104658912 is about 471.2580029927.

It can be divided in two parts, 104658 and 912, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 104658912 in words is "one hundred four million, six hundred fifty-eight thousand, nine hundred twelve".