105269657981 has 2 divisors, whose sum is σ = 105269657982. Its totient is φ = 105269657980.

The previous prime is 105269657951. The next prime is 105269658029. The reversal of 105269657981 is 189756962501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76753932025 + 28515725956 = 277045^2 + 168866^2 .

It is an emirp because it is prime and its reverse (189756962501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105269657981 - 2²⁶ = 105202549117 is a prime.

It is a super-2 number, since 2×105269657981² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105269657981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105269657921) 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, 52634828990 + 52634828991.

It is an arithmetic number, because the mean of its divisors is an integer number (52634828991).

Almost surely, 2^105269657981 is an apocalyptic number.

It is an amenable number.

105269657981 is a deficient number, since it is larger than the sum of its proper divisors (1).

105269657981 is an equidigital number, since it uses as much as digits as its factorization.

105269657981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 105269657981 in words is "one hundred five billion, two hundred sixty-nine million, six hundred fifty-seven thousand, nine hundred eighty-one".