106241266309 has 2 divisors, whose sum is σ = 106241266310. Its totient is φ = 106241266308.

The previous prime is 106241266297. The next prime is 106241266319. The reversal of 106241266309 is 903662142601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57938897025 + 48302369284 = 240705^2 + 219778^2 .

It is a cyclic number.

It is not a de Polignac number, because 106241266309 - 2⁹ = 106241265797 is a prime.

It is a super-3 number, since 3×106241266309³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106241266319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53120633154 + 53120633155.

It is an arithmetic number, because the mean of its divisors is an integer number (53120633155).

Almost surely, 2^106241266309 is an apocalyptic number.

It is an amenable number.

106241266309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106241266309 is an equidigital number, since it uses as much as digits as its factorization.

106241266309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 106241266309 in words is "one hundred six billion, two hundred forty-one million, two hundred sixty-six thousand, three hundred nine".