105601006056 has 96 divisors (see below), whose sum is σ = 326711568960. Its totient is φ = 27850807296.

The previous prime is 105601006051. The next prime is 105601006067. The reversal of 105601006056 is 650600106501.

It is a super-2 number, since 2×105601006056² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601006051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831305 + ... + 1888088.

It is an arithmetic number, because the mean of its divisors is an integer number (3403245510).

Almost surely, 2^105601006056 is an apocalyptic number.

It is an amenable number.

105601006056 is an abundant number, since it is smaller than the sum of its proper divisors (221110562904).

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

105601006056 is a wasteful number, since it uses less digits than its factorization.

105601006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719435 (or 3719418 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105601006056 in words is "one hundred five billion, six hundred one million, six thousand, fifty-six".