105717106757111 has 2 divisors, whose sum is σ = 105717106757112. Its totient is φ = 105717106757110.

The previous prime is 105717106757071. The next prime is 105717106757117. The reversal of 105717106757111 is 111757601717501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105717106757111 - 2¹⁰ = 105717106756087 is a prime.

It is a super-2 number, since 2×105717106757111² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105717106757111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105717106757117) 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 as a sum of consecutive naturals, namely, 52858553378555 + 52858553378556.

It is an arithmetic number, because the mean of its divisors is an integer number (52858553378556).

Almost surely, 2^{105717106757111} is an apocalyptic number.

105717106757111 is a deficient number, since it is larger than the sum of its proper divisors (1).

105717106757111 is an equidigital number, since it uses as much as digits as its factorization.

105717106757111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360150, while the sum is 50.

The spelling of 105717106757111 in words is "one hundred five trillion, seven hundred seventeen billion, one hundred six million, seven hundred fifty-seven thousand, one hundred eleven".