105223646813 has 2 divisors, whose sum is σ = 105223646814. Its totient is φ = 105223646812.

The previous prime is 105223646809. The next prime is 105223646861. The reversal of 105223646813 is 318646322501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100176681049 + 5046965764 = 316507^2 + 71042^2 .

It is a cyclic number.

It is not a de Polignac number, because 105223646813 - 2² = 105223646809 is a prime.

It is a super-2 number, since 2×105223646813² (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 (105223646413) 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, 52611823406 + 52611823407.

It is an arithmetic number, because the mean of its divisors is an integer number (52611823407).

Almost surely, 2^105223646813 is an apocalyptic number.

It is an amenable number.

105223646813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105223646813 is an equidigital number, since it uses as much as digits as its factorization.

105223646813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 105223646813 in words is "one hundred five billion, two hundred twenty-three million, six hundred forty-six thousand, eight hundred thirteen".