105555556105101 has 72 divisors (see below), whose sum is σ = 164852845630200. Its totient is φ = 65035963238400.

The previous prime is 105555556105093. The next prime is 105555556105217. The reversal of 105555556105101 is 101501655555501.

105555556105101 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 5 + 5 + 5 + 610 + 5 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19886203766025 + 85669352339076 = 4459395^2 + 9255774^2 .

It is not a de Polignac number, because 105555556105101 - 2³ = 105555556105093 is a prime.

It is a super-2 number, since 2×105555556105101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105555556104101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3165162375 + ... + 3165195723.

It is an arithmetic number, because the mean of its divisors is an integer number (2289622855975).

Almost surely, 2^{105555556105101} is an apocalyptic number.

It is an amenable number.

105555556105101 is a deficient number, since it is larger than the sum of its proper divisors (59297289525099).

105555556105101 is a wasteful number, since it uses less digits than its factorization.

105555556105101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57195 (or 57173 counting only the distinct ones).

The product of its (nonzero) digits is 468750, while the sum is 45.

The spelling of 105555556105101 in words is "one hundred five trillion, five hundred fifty-five billion, five hundred fifty-six million, one hundred five thousand, one hundred one".