106810309 has 2 divisors, whose sum is σ = 106810310. Its totient is φ = 106810308.

The previous prime is 106810271. The next prime is 106810351. The reversal of 106810309 is 903018601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 29757025 = 8778^2 + 5455^2 .

It is an emirp because it is prime and its reverse (903018601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106810309 - 2⁷ = 106810181 is a prime.

It is a super-2 number, since 2×106810309² = 22816884217350962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106810399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53405154 + 53405155.

It is an arithmetic number, because the mean of its divisors is an integer number (53405155).

Almost surely, 2^106810309 is an apocalyptic number.

It is an amenable number.

106810309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106810309 is an equidigital number, since it uses as much as digits as its factorization.

106810309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 106810309 is about 10334.9073048576. The cubic root of 106810309 is about 474.4652286328.

The spelling of 106810309 in words is "one hundred six million, eight hundred ten thousand, three hundred nine".