105345071537117 has 2 divisors, whose sum is σ = 105345071537118. Its totient is φ = 105345071537116.

The previous prime is 105345071537063. The next prime is 105345071537141. The reversal of 105345071537117 is 711735170543501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101196236213956 + 4148835323161 = 10059634^2 + 2036869^2 .

It is a cyclic number.

It is not a de Polignac number, because 105345071537117 - 2¹⁰ = 105345071536093 is a prime.

It is a super-2 number, since 2×105345071537117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105345071537197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672535768558 + 52672535768559.

It is an arithmetic number, because the mean of its divisors is an integer number (52672535768559).

Almost surely, 2^{105345071537117} is an apocalyptic number.

It is an amenable number.

105345071537117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345071537117 is an equidigital number, since it uses as much as digits as its factorization.

105345071537117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1543500, while the sum is 50.

The spelling of 105345071537117 in words is "one hundred five trillion, three hundred forty-five billion, seventy-one million, five hundred thirty-seven thousand, one hundred seventeen".