104490560 has 112 divisors (see below), whose sum is σ = 260219952. Its totient is φ = 39936000.

The previous prime is 104490523. The next prime is 104490563. The reversal of 104490560 is 65094401.

It can be written as a sum of positive squares in 8 ways, for example, as 123904 + 104366656 = 352^2 + 10216^2 .

It is a super-2 number, since 2×104490560² = 21836554258227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104490563) 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 15 ways as a sum of consecutive naturals, for example, 1034510 + ... + 1034610.

Almost surely, 2^104490560 is an apocalyptic number.

104490560 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 104490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130109976).

104490560 is an abundant number, since it is smaller than the sum of its proper divisors (155729392).

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

104490560 is a wasteful number, since it uses less digits than its factorization.

104490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 104490560 is about 10222.0624142098. The cubic root of 104490560 is about 471.0051823334.

The spelling of 104490560 in words is "one hundred four million, four hundred ninety thousand, five hundred sixty".