105340313504593 has 2 divisors, whose sum is σ = 105340313504594. Its totient is φ = 105340313504592.

The previous prime is 105340313504561. The next prime is 105340313504597. The reversal of 105340313504593 is 395405313043501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90852485165649 + 14487828338944 = 9531657^2 + 3806288^2 .

It is a cyclic number.

It is not a de Polignac number, because 105340313504593 - 2⁵ = 105340313504561 is a prime.

It is a super-2 number, since 2×105340313504593² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105340313504597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52670156752296 + 52670156752297.

It is an arithmetic number, because the mean of its divisors is an integer number (52670156752297).

Almost surely, 2^{105340313504593} is an apocalyptic number.

It is an amenable number.

105340313504593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105340313504593 is an equidigital number, since it uses as much as digits as its factorization.

105340313504593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458000, while the sum is 46.

The spelling of 105340313504593 in words is "one hundred five trillion, three hundred forty billion, three hundred thirteen million, five hundred four thousand, five hundred ninety-three".