106105107568399 has 2 divisors, whose sum is σ = 106105107568400. Its totient is φ = 106105107568398.

The previous prime is 106105107568349. The next prime is 106105107568441. The reversal of 106105107568399 is 993865701501601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106105107568399 - 2¹⁵ = 106105107535631 is a prime.

It is a super-2 number, since 2×106105107568399² (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 (106105107568349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052553784199 + 53052553784200.

It is an arithmetic number, because the mean of its divisors is an integer number (53052553784200).

Almost surely, 2^{106105107568399} is an apocalyptic number.

106105107568399 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105107568399 is an equidigital number, since it uses as much as digits as its factorization.

106105107568399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12247200, while the sum is 61.

The spelling of 106105107568399 in words is "one hundred six trillion, one hundred five billion, one hundred seven million, five hundred sixty-eight thousand, three hundred ninety-nine".