105011560505161 has 16 divisors (see below), whose sum is σ = 107324376064000. Its totient is φ = 102725561510208.

The previous prime is 105011560505051. The next prime is 105011560505231. The reversal of 105011560505161 is 161505065110501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105011560505161 is a prime.

It is a super-2 number, since 2×105011560505161² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105011560505161.

It is not an unprimeable number, because it can be changed into a prime (105011560505461) 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, 214615 + ... + 14493763.

It is an arithmetic number, because the mean of its divisors is an integer number (6707773504000).

Almost surely, 2^{105011560505161} is an apocalyptic number.

It is an amenable number.

105011560505161 is a deficient number, since it is larger than the sum of its proper divisors (2312815558839).

105011560505161 is a wasteful number, since it uses less digits than its factorization.

105011560505161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280088.

The product of its (nonzero) digits is 22500, while the sum is 37.

The spelling of 105011560505161 in words is "one hundred five trillion, eleven billion, five hundred sixty million, five hundred five thousand, one hundred sixty-one".