105505511131 has 2 divisors, whose sum is σ = 105505511132. Its totient is φ = 105505511130.

The previous prime is 105505511087. The next prime is 105505511149. The reversal of 105505511131 is 131115505501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105505511131 - 2²⁹ = 104968640219 is a prime.

It is a super-2 number, since 2×105505511131² (a number of 23 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 105505511131.

It is not a weakly prime, because it can be changed into another prime (105505511161) by changing a digit.

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 as a sum of consecutive naturals, namely, 52752755565 + 52752755566.

It is an arithmetic number, because the mean of its divisors is an integer number (52752755566).

Almost surely, 2^105505511131 is an apocalyptic number.

105505511131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505511131 is an equidigital number, since it uses as much as digits as its factorization.

105505511131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1875, while the sum is 28.

The spelling of 105505511131 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred thirty-one".