105967709 has 2 divisors, whose sum is σ = 105967710. Its totient is φ = 105967708.

The previous prime is 105967691. The next prime is 105967721. The reversal of 105967709 is 907769501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91145209 + 14822500 = 9547^2 + 3850^2 .

It is an emirp because it is prime and its reverse (907769501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105967709 - 2⁸ = 105967453 is a prime.

It is a super-2 number, since 2×105967709² = 22458310701417362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105967709.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105967759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52983854 + 52983855.

It is an arithmetic number, because the mean of its divisors is an integer number (52983855).

Almost surely, 2^105967709 is an apocalyptic number.

It is an amenable number.

105967709 is a deficient number, since it is larger than the sum of its proper divisors (1).

105967709 is an equidigital number, since it uses as much as digits as its factorization.

105967709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 119070, while the sum is 44.

The square root of 105967709 is about 10294.0618319495. The cubic root of 105967709 is about 473.2142872717.

The spelling of 105967709 in words is "one hundred five million, nine hundred sixty-seven thousand, seven hundred nine".