105165115602263 has 2 divisors, whose sum is σ = 105165115602264. Its totient is φ = 105165115602262.

The previous prime is 105165115602193. The next prime is 105165115602317. The reversal of 105165115602263 is 362206511561501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105165115602263 - 2¹² = 105165115598167 is a prime.

It is a super-2 number, since 2×105165115602263² (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 (105165115652263) 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, 52582557801131 + 52582557801132.

It is an arithmetic number, because the mean of its divisors is an integer number (52582557801132).

Almost surely, 2^{105165115602263} is an apocalyptic number.

105165115602263 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165115602263 is an equidigital number, since it uses as much as digits as its factorization.

105165115602263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 44.

The spelling of 105165115602263 in words is "one hundred five trillion, one hundred sixty-five billion, one hundred fifteen million, six hundred two thousand, two hundred sixty-three".