105611566055601 has 32 divisors (see below), whose sum is σ = 146490945408000. Its totient is φ = 67606342410240.

The previous prime is 105611566055521. The next prime is 105611566055603. The reversal of 105611566055601 is 106550665116501.

It is not a de Polignac number, because 105611566055601 - 2⁷ = 105611566055473 is a prime.

It is a super-2 number, since 2×105611566055601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105611566055603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8771145 + ... + 16975161.

It is an arithmetic number, because the mean of its divisors is an integer number (4577842044000).

Almost surely, 2^{105611566055601} is an apocalyptic number.

It is an amenable number.

105611566055601 is a deficient number, since it is larger than the sum of its proper divisors (40879379352399).

105611566055601 is a wasteful number, since it uses less digits than its factorization.

105611566055601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205129.

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 105611566055601 in words is "one hundred five trillion, six hundred eleven billion, five hundred sixty-six million, fifty-five thousand, six hundred one".