106115005221167 has 2 divisors, whose sum is σ = 106115005221168. Its totient is φ = 106115005221166.

The previous prime is 106115005221083. The next prime is 106115005221191. The reversal of 106115005221167 is 761122500511601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106115005221167 - 2²⁸ = 106114736785711 is a prime.

It is a super-2 number, since 2×106115005221167² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106115005221167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106115005223167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53057502610583 + 53057502610584.

It is an arithmetic number, because the mean of its divisors is an integer number (53057502610584).

Almost surely, 2^{106115005221167} is an apocalyptic number.

106115005221167 is a deficient number, since it is larger than the sum of its proper divisors (1).

106115005221167 is an equidigital number, since it uses as much as digits as its factorization.

106115005221167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 38.

Adding to 106115005221167 its reverse (761122500511601), we get a palindrome (867237505732768).

The spelling of 106115005221167 in words is "one hundred six trillion, one hundred fifteen billion, five million, two hundred twenty-one thousand, one hundred sixty-seven".