105913013 has 2 divisors, whose sum is σ = 105913014. Its totient is φ = 105913012.

The previous prime is 105913007. The next prime is 105913021. The reversal of 105913013 is 310319501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89453764 + 16459249 = 9458^2 + 4057^2 .

It is an emirp because it is prime and its reverse (310319501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105913013 - 2²⁰ = 104864437 is a prime.

It is a super-2 number, since 2×105913013² = 22435132645476338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105913013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105933013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52956506 + 52956507.

It is an arithmetic number, because the mean of its divisors is an integer number (52956507).

Almost surely, 2^105913013 is an apocalyptic number.

It is an amenable number.

105913013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105913013 is an equidigital number, since it uses as much as digits as its factorization.

105913013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 105913013 is about 10291.4048117835. The cubic root of 105913013 is about 473.1328555998.

The spelling of 105913013 in words is "one hundred five million, nine hundred thirteen thousand, thirteen".