106105309 has 2 divisors, whose sum is σ = 106105310. Its totient is φ = 106105308.

The previous prime is 106105271. The next prime is 106105333. The reversal of 106105309 is 903501601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76912900 + 29192409 = 8770^2 + 5403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106105309 is a prime.

It is a super-2 number, since 2×106105309² = 22516673195970962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106105369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052654 + 53052655.

It is an arithmetic number, because the mean of its divisors is an integer number (53052655).

Almost surely, 2^106105309 is an apocalyptic number.

It is an amenable number.

106105309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105309 is an equidigital number, since it uses as much as digits as its factorization.

106105309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 106105309 is about 10300.7431285320. The cubic root of 106105309 is about 473.4190229817.

The spelling of 106105309 in words is "one hundred six million, one hundred five thousand, three hundred nine".