105005060005056 has 112 divisors (see below), whose sum is σ = 284764353853440. Its totient is φ = 34137894067200.

The previous prime is 105005060005009. The next prime is 105005060005057. The reversal of 105005060005056 is 650500060500501.

It is a super-2 number, since 2×105005060005056² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005060005057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39110176 + ... + 41708703.

Almost surely, 2^{105005060005056} is an apocalyptic number.

105005060005056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105005060005056 is an abundant number, since it is smaller than the sum of its proper divisors (179759293848384).

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

105005060005056 is a wasteful number, since it uses less digits than its factorization.

105005060005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80819062 (or 80819052 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 105005060005056 in words is "one hundred five trillion, five billion, sixty million, five thousand, fifty-six".