105101309 has 2 divisors, whose sum is σ = 105101310. Its totient is φ = 105101308.

The previous prime is 105101299. The next prime is 105101333. The reversal of 105101309 is 903101501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105062500 + 38809 = 10250^2 + 197^2 .

It is an emirp because it is prime and its reverse (903101501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105101309 - 2¹⁶ = 105035773 is a prime.

It is a super-2 number, since 2×105101309² = 22092570307026962, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105101209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550654 + 52550655.

It is an arithmetic number, because the mean of its divisors is an integer number (52550655).

Almost surely, 2^105101309 is an apocalyptic number.

It is an amenable number.

105101309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101309 is an equidigital number, since it uses as much as digits as its factorization.

105101309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 20.

The square root of 105101309 is about 10251.8929471586. The cubic root of 105101309 is about 471.9210777863.

The spelling of 105101309 in words is "one hundred five million, one hundred one thousand, three hundred nine".