105698309 has 2 divisors, whose sum is σ = 105698310. Its totient is φ = 105698308.

The previous prime is 105698297. The next prime is 105698321. The reversal of 105698309 is 903896501.

It is a balanced prime because it is at equal distance from previous prime (105698297) and next prime (105698321).

It can be written as a sum of positive squares in only one way, i.e., 76300225 + 29398084 = 8735^2 + 5422^2 .

It is an emirp because it is prime and its reverse (903896501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105698309 - 2¹² = 105694213 is a prime.

It is a super-2 number, since 2×105698309² = 22344265050918962, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105698399) 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, 52849154 + 52849155.

It is an arithmetic number, because the mean of its divisors is an integer number (52849155).

Almost surely, 2^105698309 is an apocalyptic number.

It is an amenable number.

105698309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105698309 is an equidigital number, since it uses as much as digits as its factorization.

105698309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 105698309 is about 10280.9682909734. The cubic root of 105698309 is about 472.8129319391.

The spelling of 105698309 in words is "one hundred five million, six hundred ninety-eight thousand, three hundred nine".