105055501321 has 2 divisors, whose sum is σ = 105055501322. Its totient is φ = 105055501320.

The previous prime is 105055501283. The next prime is 105055501381. The reversal of 105055501321 is 123105550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101385564921 + 3669936400 = 318411^2 + 60580^2 .

It is an emirp because it is prime and its reverse (123105550501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105055501321 - 2⁷ = 105055501193 is a prime.

It is a super-2 number, since 2×105055501321² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105055501321.

It is not a weakly prime, because it can be changed into another prime (105055501381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527750660 + 52527750661.

It is an arithmetic number, because the mean of its divisors is an integer number (52527750661).

Almost surely, 2^105055501321 is an apocalyptic number.

It is an amenable number.

105055501321 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055501321 is an equidigital number, since it uses as much as digits as its factorization.

105055501321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105055501321 in words is "one hundred five billion, fifty-five million, five hundred one thousand, three hundred twenty-one".