105560100013 has 2 divisors, whose sum is σ = 105560100014. Its totient is φ = 105560100012.

The previous prime is 105560099993. The next prime is 105560100017. The reversal of 105560100013 is 310001065501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86349585609 + 19210514404 = 293853^2 + 138602^2 .

It is a cyclic number.

It is not a de Polignac number, because 105560100013 - 2⁹ = 105560099501 is a prime.

It is a super-2 number, since 2×105560100013² (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 (105560100017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52780050006 + 52780050007.

It is an arithmetic number, because the mean of its divisors is an integer number (52780050007).

Almost surely, 2^105560100013 is an apocalyptic number.

It is an amenable number.

105560100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105560100013 is an equidigital number, since it uses as much as digits as its factorization.

105560100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 105560100013 its reverse (310001065501), we get a palindrome (415561165514).

The spelling of 105560100013 in words is "one hundred five billion, five hundred sixty million, one hundred thousand, thirteen".