105166110511160 has 16 divisors (see below), whose sum is σ = 236623748650200. Its totient is φ = 42066444204448.

The previous prime is 105166110511079. The next prime is 105166110511201. The reversal of 105166110511160 is 61115011661501.

It is a super-2 number, since 2×105166110511160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105166110511160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314576381350 + ... + 1314576381429.

Almost surely, 2^{105166110511160} is an apocalyptic number.

105166110511160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105166110511160 is an abundant number, since it is smaller than the sum of its proper divisors (131457638139040).

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

105166110511160 is a wasteful number, since it uses less digits than its factorization.

105166110511160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629152762790 (or 2629152762786 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 35.

The spelling of 105166110511160 in words is "one hundred five trillion, one hundred sixty-six billion, one hundred ten million, five hundred eleven thousand, one hundred sixty".