105177759144131 has 2 divisors, whose sum is σ = 105177759144132. Its totient is φ = 105177759144130.

The previous prime is 105177759144103. The next prime is 105177759144193. The reversal of 105177759144131 is 131441957771501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105177759144131 is a prime.

It is a super-3 number, since 3×105177759144131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105177759164131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52588879572065 + 52588879572066.

It is an arithmetic number, because the mean of its divisors is an integer number (52588879572066).

Almost surely, 2^{105177759144131} is an apocalyptic number.

105177759144131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105177759144131 is an equidigital number, since it uses as much as digits as its factorization.

105177759144131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3704400, while the sum is 56.

The spelling of 105177759144131 in words is "one hundred five trillion, one hundred seventy-seven billion, seven hundred fifty-nine million, one hundred forty-four thousand, one hundred thirty-one".