105149309 has 2 divisors, whose sum is σ = 105149310. Its totient is φ = 105149308.

The previous prime is 105149279. The next prime is 105149311. The reversal of 105149309 is 903941501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83265625 + 21883684 = 9125^2 + 4678^2 .

It is an emirp because it is prime and its reverse (903941501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105149309 - 2⁸ = 105149053 is a prime.

It is a super-2 number, since 2×105149309² = 22112754366354962, which contains 22 as substring.

Together with 105149311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105149329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52574654 + 52574655.

It is an arithmetic number, because the mean of its divisors is an integer number (52574655).

Almost surely, 2^105149309 is an apocalyptic number.

It is an amenable number.

105149309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105149309 is an equidigital number, since it uses as much as digits as its factorization.

105149309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 105149309 is about 10254.2337110093. The cubic root of 105149309 is about 471.9929093185.

The spelling of 105149309 in words is "one hundred five million, one hundred forty-nine thousand, three hundred nine".