105795268949 has 2 divisors, whose sum is σ = 105795268950. Its totient is φ = 105795268948.

The previous prime is 105795268889. The next prime is 105795268961. The reversal of 105795268949 is 949862597501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103082734225 + 2712534724 = 321065^2 + 52082^2 .

It is an emirp because it is prime and its reverse (949862597501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105795268949 - 2³⁶ = 37075792213 is a prime.

It is a super-2 number, since 2×105795268949² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105795268979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52897634474 + 52897634475.

It is an arithmetic number, because the mean of its divisors is an integer number (52897634475).

Almost surely, 2^105795268949 is an apocalyptic number.

It is an amenable number.

105795268949 is a deficient number, since it is larger than the sum of its proper divisors (1).

105795268949 is an equidigital number, since it uses as much as digits as its factorization.

105795268949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48988800, while the sum is 65.

The spelling of 105795268949 in words is "one hundred five billion, seven hundred ninety-five million, two hundred sixty-eight thousand, nine hundred forty-nine".