100105500560 has 60 divisors (see below), whose sum is σ = 252025997652. Its totient is φ = 36962025984.

The previous prime is 100105500503. The next prime is 100105500589. The reversal of 100105500560 is 65005501001.

It can be written as a sum of positive squares in 6 ways, for example, as 50828604304 + 49276896256 = 225452^2 + 221984^2 .

It is a super-2 number, since 2×100105500560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3688607 + ... + 3715646.

Almost surely, 2^100105500560 is an apocalyptic number.

100105500560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105500560 is an abundant number, since it is smaller than the sum of its proper divisors (151920497092).

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

100105500560 is a wasteful number, since it uses less digits than its factorization.

100105500560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404292 (or 7404273 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100105500560 in words is "one hundred billion, one hundred five million, five hundred thousand, five hundred sixty".