104614560 has 72 divisors (see below), whose sum is σ = 357002100. Its totient is φ = 27896832.

The previous prime is 104614529. The next prime is 104614567. The reversal of 104614560 is 65416401.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 3732624 = 10044^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (104614567) 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 11 ways as a sum of consecutive naturals, for example, 34885 + ... + 37764.

Almost surely, 2^104614560 is an apocalyptic number.

104614560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104614560 is an abundant number, since it is smaller than the sum of its proper divisors (252387540).

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

104614560 is a wasteful number, since it uses less digits than its factorization.

104614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72670 (or 72659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104614560 is about 10228.1259280476. The cubic root of 104614560 is about 471.1914242124.

The spelling of 104614560 in words is "one hundred four million, six hundred fourteen thousand, five hundred sixty".