105450517316797 has 2 divisors, whose sum is σ = 105450517316798. Its totient is φ = 105450517316796.

The previous prime is 105450517316791. The next prime is 105450517316801. The reversal of 105450517316797 is 797613715054501.

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., 64658549430916 + 40791967885881 = 8041054^2 + 6386859^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105450517316797 is a prime.

It is a super-2 number, since 2×105450517316797² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105450517316791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52725258658398 + 52725258658399.

It is an arithmetic number, because the mean of its divisors is an integer number (52725258658399).

Almost surely, 2^{105450517316797} is an apocalyptic number.

It is an amenable number.

105450517316797 is a deficient number, since it is larger than the sum of its proper divisors (1).

105450517316797 is an equidigital number, since it uses as much as digits as its factorization.

105450517316797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27783000, while the sum is 61.

The spelling of 105450517316797 in words is "one hundred five trillion, four hundred fifty billion, five hundred seventeen million, three hundred sixteen thousand, seven hundred ninety-seven".