104889120 has 384 divisors, whose sum is σ = 418037760. Its totient is φ = 21565440.

The previous prime is 104889091. The next prime is 104889137. The reversal of 104889120 is 21988401.

It is a super-2 number, since 2×104889120² = 22003454988748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1979014 + ... + 1979066.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^104889120 is an apocalyptic number.

104889120 is a gapful number since it is divisible by the number (10) 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 104889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

104889120 is an abundant number, since it is smaller than the sum of its proper divisors (313148640).

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

104889120 is a wasteful number, since it uses less digits than its factorization.

104889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 104889120 is about 10241.5389468575. The cubic root of 104889120 is about 471.6032767151.

The spelling of 104889120 in words is "one hundred four million, eight hundred eighty-nine thousand, one hundred twenty".