105744013 has 2 divisors, whose sum is σ = 105744014. Its totient is φ = 105744012.

The previous prime is 105743999. The next prime is 105744017. The reversal of 105744013 is 310447501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104816644 + 927369 = 10238^2 + 963^2 .

It is a cyclic number.

It is not a de Polignac number, because 105744013 - 2²⁵ = 72189581 is a prime.

It is a super-2 number, since 2×105744013² = 22363592570688338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105744017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52872006 + 52872007.

It is an arithmetic number, because the mean of its divisors is an integer number (52872007).

Almost surely, 2^105744013 is an apocalyptic number.

It is an amenable number.

105744013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105744013 is an equidigital number, since it uses as much as digits as its factorization.

105744013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105744013 is about 10283.1907985800. The cubic root of 105744013 is about 472.8810702993.

The spelling of 105744013 in words is "one hundred five million, seven hundred forty-four thousand, thirteen".