104958560 has 96 divisors (see below), whose sum is σ = 292626432. Its totient is φ = 34813440.

The previous prime is 104958551. The next prime is 104958587. The reversal of 104958560 is 65859401.

It is a super-2 number, since 2×104958560² = 22032598634547200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33209 + ... + 36231.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192).

Almost surely, 2^104958560 is an apocalyptic number.

104958560 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 104958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

104958560 is an abundant number, since it is smaller than the sum of its proper divisors (187667872).

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

104958560 is a wasteful number, since it uses less digits than its factorization.

104958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 104958560 is about 10244.9285014587. The cubic root of 104958560 is about 471.7073259798.

The spelling of 104958560 in words is "one hundred four million, nine hundred fifty-eight thousand, five hundred sixty".