104290560 has 216 divisors, whose sum is σ = 394115904. Its totient is φ = 25251840.

The previous prime is 104290519. The next prime is 104290561. The reversal of 104290560 is 65092401.

104290560 is a `hidden beast` number, since 10 + 4 + 2 + 90 + 560 = 666.

It is a super-2 number, since 2×104290560² = 21753041810227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104290561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126309 + ... + 127131.

Almost surely, 2^104290560 is an apocalyptic number.

104290560 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 104290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197057952).

104290560 is an abundant number, since it is smaller than the sum of its proper divisors (289825344).

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

104290560 is a wasteful number, since it uses less digits than its factorization.

104290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104290560 is about 10212.2749669209. The cubic root of 104290560 is about 470.7044814782.

The spelling of 104290560 in words is "one hundred four million, two hundred ninety thousand, five hundred sixty".