105164045220313 has 2 divisors, whose sum is σ = 105164045220314. Its totient is φ = 105164045220312.

The previous prime is 105164045220307. The next prime is 105164045220517. The reversal of 105164045220313 is 313022540461501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104226192429129 + 937852791184 = 10209123^2 + 968428^2 .

It is a cyclic number.

It is not a de Polignac number, because 105164045220313 - 2²⁹ = 105163508349401 is a prime.

It is a super-2 number, since 2×105164045220313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105164045223313) 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, 52582022610156 + 52582022610157.

It is an arithmetic number, because the mean of its divisors is an integer number (52582022610157).

Almost surely, 2^{105164045220313} is an apocalyptic number.

It is an amenable number.

105164045220313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105164045220313 is an equidigital number, since it uses as much as digits as its factorization.

105164045220313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 105164045220313 its reverse (313022540461501), we get a palindrome (418186585681814).

The spelling of 105164045220313 in words is "one hundred five trillion, one hundred sixty-four billion, forty-five million, two hundred twenty thousand, three hundred thirteen".