105166055056111 has 16 divisors (see below), whose sum is σ = 126516068104960. Its totient is φ = 85397653218240.

The previous prime is 105166055056091. The next prime is 105166055056129. The reversal of 105166055056111 is 111650550661501.

It is a cyclic number.

It is not a de Polignac number, because 105166055056111 - 2⁵ = 105166055056079 is a prime.

It is a super-2 number, since 2×105166055056111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105166055056141) 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, 34325395 + ... + 37263451.

It is an arithmetic number, because the mean of its divisors is an integer number (7907254256560).

Almost surely, 2^{105166055056111} is an apocalyptic number.

105166055056111 is a deficient number, since it is larger than the sum of its proper divisors (21350013048849).

105166055056111 is a wasteful number, since it uses less digits than its factorization.

105166055056111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207214.

The product of its (nonzero) digits is 135000, while the sum is 43.

The spelling of 105166055056111 in words is "one hundred five trillion, one hundred sixty-six billion, fifty-five million, fifty-six thousand, one hundred eleven".