105409313 has 2 divisors, whose sum is σ = 105409314. Its totient is φ = 105409312.

The previous prime is 105409309. The next prime is 105409327. The reversal of 105409313 is 313904501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105103504 + 305809 = 10252^2 + 553^2 .

It is an emirp because it is prime and its reverse (313904501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105409313 - 2² = 105409309 is a prime.

It is a super-2 number, since 2×105409313² = 22222246534263938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105409013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52704656 + 52704657.

It is an arithmetic number, because the mean of its divisors is an integer number (52704657).

Almost surely, 2^105409313 is an apocalyptic number.

It is an amenable number.

105409313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105409313 is an equidigital number, since it uses as much as digits as its factorization.

105409313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 105409313 is about 10266.9037689072. The cubic root of 105409313 is about 472.3816233412.

The spelling of 105409313 in words is "one hundred five million, four hundred nine thousand, three hundred thirteen".