10005066167 has 2 divisors, whose sum is σ = 10005066168. Its totient is φ = 10005066166.

The previous prime is 10005066163. The next prime is 10005066193. The reversal of 10005066167 is 76166050001.

10005066167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10005066167 - 2² = 10005066163 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005066163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002533083 + 5002533084.

It is an arithmetic number, because the mean of its divisors is an integer number (5002533084).

Almost surely, 2^10005066167 is an apocalyptic number.

10005066167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005066167 is an equidigital number, since it uses as much as digits as its factorization.

10005066167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10005066167 in words is "ten billion, five million, sixty-six thousand, one hundred sixty-seven".