105313541771 has 2 divisors, whose sum is σ = 105313541772. Its totient is φ = 105313541770.

The previous prime is 105313541759. The next prime is 105313541779. The reversal of 105313541771 is 177145313501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105313541771 - 2²² = 105309347467 is a prime.

It is a super-2 number, since 2×105313541771² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105313541779) 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, 52656770885 + 52656770886.

It is an arithmetic number, because the mean of its divisors is an integer number (52656770886).

Almost surely, 2^105313541771 is an apocalyptic number.

105313541771 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313541771 is an equidigital number, since it uses as much as digits as its factorization.

105313541771 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 105313541771 in words is "one hundred five billion, three hundred thirteen million, five hundred forty-one thousand, seven hundred seventy-one".