107309 has 2 divisors, whose sum is σ = 107310. Its totient is φ = 107308.

The previous prime is 107279. The next prime is 107323. The reversal of 107309 is 903701.

107309 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75625 + 31684 = 275^2 + 178^2 .

It is an emirp because it is prime and its reverse (903701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107309 - 2⁸ = 107053 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107309.

It is not a weakly prime, because it can be changed into another prime (107339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53654 + 53655.

It is an arithmetic number, because the mean of its divisors is an integer number (53655).

2¹⁰⁷³⁰⁹ is an apocalyptic number.

It is an amenable number.

107309 is a deficient number, since it is larger than the sum of its proper divisors (1).

107309 is an equidigital number, since it uses as much as digits as its factorization.

107309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 107309 is about 327.5805244516. The cubic root of 107309 is about 47.5202499070.

The spelling of 107309 in words is "one hundred seven thousand, three hundred nine".