104968560 has 80 divisors (see below), whose sum is σ = 326836224. Its totient is φ = 27868416.

The previous prime is 104968543. The next prime is 104968571. The reversal of 104968560 is 65869401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104968560² = 22036797176947200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 62289 + ... + 63951.

Almost surely, 2^104968560 is an apocalyptic number.

104968560 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 104968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

104968560 is an abundant number, since it is smaller than the sum of its proper divisors (221867664).

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

104968560 is a wasteful number, since it uses less digits than its factorization.

104968560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 104968560 is about 10245.4165361883. The cubic root of 104968560 is about 471.7223062522.

The spelling of 104968560 in words is "one hundred four million, nine hundred sixty-eight thousand, five hundred sixty".