105611110009931 has 2 divisors, whose sum is σ = 105611110009932. Its totient is φ = 105611110009930.

The previous prime is 105611110009907. The next prime is 105611110009957. The reversal of 105611110009931 is 139900011116501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105611110009931 is a prime.

It is a super-2 number, since 2×105611110009931² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105611110609931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805555004965 + 52805555004966.

It is an arithmetic number, because the mean of its divisors is an integer number (52805555004966).

Almost surely, 2^{105611110009931} is an apocalyptic number.

105611110009931 is a deficient number, since it is larger than the sum of its proper divisors (1).

105611110009931 is an equidigital number, since it uses as much as digits as its factorization.

105611110009931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 38.

The spelling of 105611110009931 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, nine thousand, nine hundred thirty-one".