105510051523321 has 2 divisors, whose sum is σ = 105510051523322. Its totient is φ = 105510051523320.

The previous prime is 105510051523319. The next prime is 105510051523421. The reversal of 105510051523321 is 123325150015501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103257891004921 + 2252160518400 = 10161589^2 + 1500720^2 .

It is a cyclic number.

It is not a de Polignac number, because 105510051523321 - 2¹ = 105510051523319 is a prime.

It is a super-2 number, since 2×105510051523321² (a number of 29 digits) contains 22 as substring.

Together with 105510051523319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105510051523301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52755025761660 + 52755025761661.

It is an arithmetic number, because the mean of its divisors is an integer number (52755025761661).

Almost surely, 2^{105510051523321} is an apocalyptic number.

It is an amenable number.

105510051523321 is a deficient number, since it is larger than the sum of its proper divisors (1).

105510051523321 is an equidigital number, since it uses as much as digits as its factorization.

105510051523321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105510051523321 in words is "one hundred five trillion, five hundred ten billion, fifty-one million, five hundred twenty-three thousand, three hundred twenty-one".