105892969709 has 2 divisors, whose sum is σ = 105892969710. Its totient is φ = 105892969708.

The previous prime is 105892969687. The next prime is 105892969747. The reversal of 105892969709 is 907969298501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105826596100 + 66373609 = 325310^2 + 8147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105892969709 is a prime.

It is a super-2 number, since 2×105892969709² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105892969769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52946484854 + 52946484855.

It is an arithmetic number, because the mean of its divisors is an integer number (52946484855).

Almost surely, 2^105892969709 is an apocalyptic number.

It is an amenable number.

105892969709 is a deficient number, since it is larger than the sum of its proper divisors (1).

105892969709 is an equidigital number, since it uses as much as digits as its factorization.

105892969709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22044960, while the sum is 65.

The spelling of 105892969709 in words is "one hundred five billion, eight hundred ninety-two million, nine hundred sixty-nine thousand, seven hundred nine".