105351162616229 has 2 divisors, whose sum is σ = 105351162616230. Its totient is φ = 105351162616228.

The previous prime is 105351162616211. The next prime is 105351162616237. The reversal of 105351162616229 is 922616261153501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82812311416129 + 22538851200100 = 9100127^2 + 4747510^2 .

It is an emirp because it is prime and its reverse (922616261153501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105351162616229 - 2⁸ = 105351162615973 is a prime.

It is a super-2 number, since 2×105351162616229² (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 (105351162616279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52675581308114 + 52675581308115.

It is an arithmetic number, because the mean of its divisors is an integer number (52675581308115).

Almost surely, 2^{105351162616229} is an apocalyptic number.

It is an amenable number.

105351162616229 is a deficient number, since it is larger than the sum of its proper divisors (1).

105351162616229 is an equidigital number, since it uses as much as digits as its factorization.

105351162616229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 105351162616229 in words is "one hundred five trillion, three hundred fifty-one billion, one hundred sixty-two million, six hundred sixteen thousand, two hundred twenty-nine".