105164045220517 has 2 divisors, whose sum is σ = 105164045220518. Its totient is φ = 105164045220516.

The previous prime is 105164045220313. The next prime is 105164045220541. The reversal of 105164045220517 is 715022540461501.

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., 60724209545476 + 44439835675041 = 7792574^2 + 6666321^2 .

It is a cyclic number.

It is not a de Polignac number, because 105164045220517 - 2¹⁵ = 105164045187749 is a prime.

It is a super-2 number, since 2×105164045220517² (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 (105164045220617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582022610258 + 52582022610259.

It is an arithmetic number, because the mean of its divisors is an integer number (52582022610259).

Almost surely, 2^{105164045220517} is an apocalyptic number.

It is an amenable number.

105164045220517 is a deficient number, since it is larger than the sum of its proper divisors (1).

105164045220517 is an equidigital number, since it uses as much as digits as its factorization.

105164045220517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 105164045220517 in words is "one hundred five trillion, one hundred sixty-four billion, forty-five million, two hundred twenty thousand, five hundred seventeen".