100561160160 has 144 divisors (see below), whose sum is σ = 361226370960. Its totient is φ = 25404917760.

The previous prime is 100561160107. The next prime is 100561160197. The reversal of 100561160160 is 61061165001.

100561160160 is a `hidden beast` number, since 1 + 0 + 0 + 56 + 1 + 1 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100561160160² (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 23 ways as a sum of consecutive naturals, for example, 1810381 + ... + 1865100.

It is an arithmetic number, because the mean of its divisors is an integer number (2508516465).

Almost surely, 2^100561160160 is an apocalyptic number.

100561160160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100561160160 is an abundant number, since it is smaller than the sum of its proper divisors (260665210800).

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

100561160160 is a wasteful number, since it uses less digits than its factorization.

100561160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675521 (or 3675510 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100561160160 in words is "one hundred billion, five hundred sixty-one million, one hundred sixty thousand, one hundred sixty".