105271167107 has 2 divisors, whose sum is σ = 105271167108. Its totient is φ = 105271167106.

The previous prime is 105271167059. The next prime is 105271167109. The reversal of 105271167107 is 701761172501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105271167107 - 2¹⁴ = 105271150723 is a prime.

It is a super-2 number, since 2×105271167107² (a number of 23 digits) contains 22 as substring.

Together with 105271167109, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105271167109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52635583553 + 52635583554.

It is an arithmetic number, because the mean of its divisors is an integer number (52635583554).

Almost surely, 2^105271167107 is an apocalyptic number.

105271167107 is a deficient number, since it is larger than the sum of its proper divisors (1).

105271167107 is an equidigital number, since it uses as much as digits as its factorization.

105271167107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20580, while the sum is 38.

The spelling of 105271167107 in words is "one hundred five billion, two hundred seventy-one million, one hundred sixty-seven thousand, one hundred seven".