105177745811 has 2 divisors, whose sum is σ = 105177745812. Its totient is φ = 105177745810.

The previous prime is 105177745747. The next prime is 105177745873. The reversal of 105177745811 is 118547771501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105177745811 - 2⁶ = 105177745747 is a prime.

It is a super-2 number, since 2×105177745811² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (105177745411) 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, 52588872905 + 52588872906.

It is an arithmetic number, because the mean of its divisors is an integer number (52588872906).

Almost surely, 2^105177745811 is an apocalyptic number.

105177745811 is a deficient number, since it is larger than the sum of its proper divisors (1).

105177745811 is an equidigital number, since it uses as much as digits as its factorization.

105177745811 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 274400, while the sum is 47.

The spelling of 105177745811 in words is "one hundred five billion, one hundred seventy-seven million, seven hundred forty-five thousand, eight hundred eleven".