105345071536093 has 2 divisors, whose sum is σ = 105345071536094. Its totient is φ = 105345071536092.

The previous prime is 105345071536043. The next prime is 105345071536097. The reversal of 105345071536093 is 390635170543501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99331580709529 + 6013490826564 = 9966523^2 + 2452242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105345071536093 is a prime.

It is a super-2 number, since 2×105345071536093² (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 105345071536093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105345071536097) 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, 52672535768046 + 52672535768047.

It is an arithmetic number, because the mean of its divisors is an integer number (52672535768047).

Almost surely, 2^{105345071536093} is an apocalyptic number.

It is an amenable number.

105345071536093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345071536093 is an equidigital number, since it uses as much as digits as its factorization.

105345071536093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103000, while the sum is 52.

The spelling of 105345071536093 in words is "one hundred five trillion, three hundred forty-five billion, seventy-one million, five hundred thirty-six thousand, ninety-three".