105611060056106 has 64 divisors (see below), whose sum is σ = 183224062506240. Its totient is φ = 45121910184960.

The previous prime is 105611060056091. The next prime is 105611060056153. The reversal of 105611060056106 is 601650060116501.

It is a super-2 number, since 2×105611060056106² (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 105611060056106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2809607960 + ... + 2809645548.

It is an arithmetic number, because the mean of its divisors is an integer number (2862875976660).

Almost surely, 2^{105611060056106} is an apocalyptic number.

105611060056106 is a deficient number, since it is larger than the sum of its proper divisors (77613002450134).

105611060056106 is a wasteful number, since it uses less digits than its factorization.

105611060056106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47279.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 105611060056106 in words is "one hundred five trillion, six hundred eleven billion, sixty million, fifty-six thousand, one hundred six".