105717106757311 has 12 divisors (see below), whose sum is σ = 125976482619120. Its totient is φ = 88404549203040.

The previous prime is 105717106757299. The next prime is 105717106757363. The reversal of 105717106757311 is 113757601717501.

It is not a de Polignac number, because 105717106757311 - 2⁴⁵ = 70532734668479 is a prime.

It is a super-2 number, since 2×105717106757311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105717106757111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26310875731 + ... + 26310879748.

It is an arithmetic number, because the mean of its divisors is an integer number (10498040218260).

Almost surely, 2^{105717106757311} is an apocalyptic number.

105717106757311 is a deficient number, since it is larger than the sum of its proper divisors (20259375861809).

105717106757311 is an equidigital number, since it uses as much as digits as its factorization.

105717106757311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52621755534 (or 52621755527 counting only the distinct ones).

The product of its (nonzero) digits is 1080450, while the sum is 52.

The spelling of 105717106757311 in words is "one hundred five trillion, seven hundred seventeen billion, one hundred six million, seven hundred fifty-seven thousand, three hundred eleven".