103057582560 has 48 divisors (see below), whose sum is σ = 324631386576. Its totient is φ = 27482021888.

The previous prime is 103057582549. The next prime is 103057582601. The reversal of 103057582560 is 65285750301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103057582560² (a number of 23 digits) 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 7 ways as a sum of consecutive naturals, for example, 107351169 + ... + 107352128.

It is an arithmetic number, because the mean of its divisors is an integer number (6763153887).

Almost surely, 2^103057582560 is an apocalyptic number.

103057582560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103057582560 is an abundant number, since it is smaller than the sum of its proper divisors (221573804016).

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

103057582560 is a wasteful number, since it uses less digits than its factorization.

103057582560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214703315 (or 214703307 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 103057582560 in words is "one hundred three billion, fifty-seven million, five hundred eighty-two thousand, five hundred sixty".