105676577012771 has 2 divisors, whose sum is σ = 105676577012772. Its totient is φ = 105676577012770.

The previous prime is 105676577012753. The next prime is 105676577012791. The reversal of 105676577012771 is 177210775676501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105676577012771 is a prime.

It is a super-2 number, since 2×105676577012771² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105676577012711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52838288506385 + 52838288506386.

It is an arithmetic number, because the mean of its divisors is an integer number (52838288506386).

Almost surely, 2^{105676577012771} is an apocalyptic number.

105676577012771 is a deficient number, since it is larger than the sum of its proper divisors (1).

105676577012771 is an equidigital number, since it uses as much as digits as its factorization.

105676577012771 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30252600, while the sum is 62.

The spelling of 105676577012771 in words is "one hundred five trillion, six hundred seventy-six billion, five hundred seventy-seven million, twelve thousand, seven hundred seventy-one".