104989920 has 96 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 23996928.

The previous prime is 104989919. The next prime is 104989921. The reversal of 104989920 is 29989401.

It is an interprime number because it is at equal distance from previous prime (104989919) and next prime (104989921).

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

It is a super-2 number, since 2×104989920² = 22045766603212800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104989921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12264 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^104989920 is an apocalyptic number.

104989920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104989920 is an abundant number, since it is smaller than the sum of its proper divisors (272985888).

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

104989920 is a wasteful number, since it uses less digits than its factorization.

104989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31272 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 104989920 is about 10246.4589005178. The cubic root of 104989920 is about 471.7543009278.

The spelling of 104989920 in words is "one hundred four million, nine hundred eighty-nine thousand, nine hundred twenty".