105472526167 has 2 divisors, whose sum is σ = 105472526168. Its totient is φ = 105472526166.

The previous prime is 105472526149. The next prime is 105472526177. The reversal of 105472526167 is 761625274501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105472526167 is a prime.

It is a super-2 number, since 2×105472526167² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105472526177) 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, 52736263083 + 52736263084.

It is an arithmetic number, because the mean of its divisors is an integer number (52736263084).

Almost surely, 2^105472526167 is an apocalyptic number.

105472526167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105472526167 is an equidigital number, since it uses as much as digits as its factorization.

105472526167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 105472526167 in words is "one hundred five billion, four hundred seventy-two million, five hundred twenty-six thousand, one hundred sixty-seven".