105165270131 has 2 divisors, whose sum is σ = 105165270132. Its totient is φ = 105165270130.

The previous prime is 105165270121. The next prime is 105165270167. The reversal of 105165270131 is 131072561501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105165270131 - 2²² = 105161075827 is a prime.

It is a super-2 number, since 2×105165270131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105165270121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582635065 + 52582635066.

It is an arithmetic number, because the mean of its divisors is an integer number (52582635066).

Almost surely, 2^105165270131 is an apocalyptic number.

105165270131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165270131 is an equidigital number, since it uses as much as digits as its factorization.

105165270131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 105165270131 in words is "one hundred five billion, one hundred sixty-five million, two hundred seventy thousand, one hundred thirty-one".