105813289693 has 2 divisors, whose sum is σ = 105813289694. Its totient is φ = 105813289692.

The previous prime is 105813289667. The next prime is 105813289721. The reversal of 105813289693 is 396982318501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90505908964 + 15307380729 = 300842^2 + 123723^2 .

It is a cyclic number.

It is not a de Polignac number, because 105813289693 - 2⁵ = 105813289661 is a prime.

It is a super-2 number, since 2×105813289693² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105813289993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52906644846 + 52906644847.

It is an arithmetic number, because the mean of its divisors is an integer number (52906644847).

Almost surely, 2^105813289693 is an apocalyptic number.

It is an amenable number.

105813289693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105813289693 is an equidigital number, since it uses as much as digits as its factorization.

105813289693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 105813289693 in words is "one hundred five billion, eight hundred thirteen million, two hundred eighty-nine thousand, six hundred ninety-three".