104912016 has 160 divisors (see below), whose sum is σ = 316265472. Its totient is φ = 29652480.

The previous prime is 104912011. The next prime is 104912047. The reversal of 104912016 is 610219401.

It is a super-2 number, since 2×104912016² = 22013062202368512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104912011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643551 + ... + 643713.

Almost surely, 2^104912016 is an apocalyptic number.

104912016 is a gapful number since it is divisible by the number (16) 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 104912016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158132736).

104912016 is an abundant number, since it is smaller than the sum of its proper divisors (211353456).

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

104912016 is a wasteful number, since it uses less digits than its factorization.

104912016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 104912016 is about 10242.6566866219. The cubic root of 104912016 is about 471.6375892763.

The spelling of 104912016 in words is "one hundred four million, nine hundred twelve thousand, sixteen".