104456880 has 240 divisors, whose sum is σ = 389394720. Its totient is φ = 25090560.

The previous prime is 104456873. The next prime is 104456893. The reversal of 104456880 is 88654401.

104456880 is a `hidden beast` number, since 10 + 4 + 4 + 568 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×104456880² = 21822479558668800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958266 + ... + 958374.

It is an arithmetic number, because the mean of its divisors is an integer number (1622478).

Almost surely, 2^104456880 is an apocalyptic number.

104456880 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 104456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194697360).

104456880 is an abundant number, since it is smaller than the sum of its proper divisors (284937840).

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

104456880 is a wasteful number, since it uses less digits than its factorization.

104456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 104456880 is about 10220.4148643781. The cubic root of 104456880 is about 470.9545711928.

The spelling of 104456880 in words is "one hundred four million, four hundred fifty-six thousand, eight hundred eighty".