105997127213 has 2 divisors, whose sum is σ = 105997127214. Its totient is φ = 105997127212.

The previous prime is 105997127149. The next prime is 105997127221. The reversal of 105997127213 is 312721799501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76141779844 + 29855347369 = 275938^2 + 172787^2 .

It is a cyclic number.

It is not a de Polignac number, because 105997127213 - 2⁶ = 105997127149 is a prime.

It is a super-2 number, since 2×105997127213² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105997127113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52998563606 + 52998563607.

It is an arithmetic number, because the mean of its divisors is an integer number (52998563607).

Almost surely, 2^105997127213 is an apocalyptic number.

It is an amenable number.

105997127213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105997127213 is an equidigital number, since it uses as much as digits as its factorization.

105997127213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 238140, while the sum is 47.

The spelling of 105997127213 in words is "one hundred five billion, nine hundred ninety-seven million, one hundred twenty-seven thousand, two hundred thirteen".