105765230553721 has 2 divisors, whose sum is σ = 105765230553722. Its totient is φ = 105765230553720.

The previous prime is 105765230553691. The next prime is 105765230553727. The reversal of 105765230553721 is 127355032567501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105760244640400 + 4985913321 = 10283980^2 + 70611^2 .

It is an emirp because it is prime and its reverse (127355032567501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105765230553721 - 2¹⁵ = 105765230520953 is a prime.

It is a super-2 number, since 2×105765230553721² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105765230553727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52882615276860 + 52882615276861.

It is an arithmetic number, because the mean of its divisors is an integer number (52882615276861).

Almost surely, 2^{105765230553721} is an apocalyptic number.

It is an amenable number.

105765230553721 is a deficient number, since it is larger than the sum of its proper divisors (1).

105765230553721 is an equidigital number, since it uses as much as digits as its factorization.

105765230553721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6615000, while the sum is 52.

The spelling of 105765230553721 in words is "one hundred five trillion, seven hundred sixty-five billion, two hundred thirty million, five hundred fifty-three thousand, seven hundred twenty-one".