102206309 has 2 divisors, whose sum is σ = 102206310. Its totient is φ = 102206308.

The previous prime is 102206267. The next prime is 102206323. The reversal of 102206309 is 903602201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88774084 + 13432225 = 9422^2 + 3665^2 .

It is an emirp because it is prime and its reverse (903602201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102206309 - 2²⁴ = 85429093 is a prime.

It is a super-2 number, since 2×102206309² = 20892259198806962, 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 (102206369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51103154 + 51103155.

It is an arithmetic number, because the mean of its divisors is an integer number (51103155).

Almost surely, 2^102206309 is an apocalyptic number.

It is an amenable number.

102206309 is a deficient number, since it is larger than the sum of its proper divisors (1).

102206309 is an equidigital number, since it uses as much as digits as its factorization.

102206309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 102206309 is about 10109.7135963389. The cubic root of 102206309 is about 467.5476748925.

The spelling of 102206309 in words is "one hundred two million, two hundred six thousand, three hundred nine".