105301309 has 2 divisors, whose sum is σ = 105301310. Its totient is φ = 105301308.

The previous prime is 105301279. The next prime is 105301369. The reversal of 105301309 is 903103501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103978809 + 1322500 = 10197^2 + 1150^2 .

It is a cyclic number.

It is not a de Polignac number, because 105301309 - 2⁷ = 105301181 is a prime.

It is a super-2 number, since 2×105301309² = 22176731354226962, 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 105301309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105301369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650654 + 52650655.

It is an arithmetic number, because the mean of its divisors is an integer number (52650655).

Almost surely, 2^105301309 is an apocalyptic number.

It is an amenable number.

105301309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105301309 is an equidigital number, since it uses as much as digits as its factorization.

105301309 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 22.

The square root of 105301309 is about 10261.6426073022. The cubic root of 105301309 is about 472.2202317199.

The spelling of 105301309 in words is "one hundred five million, three hundred one thousand, three hundred nine".