105728167 has 2 divisors, whose sum is σ = 105728168. Its totient is φ = 105728166.

The previous prime is 105728137. The next prime is 105728209. The reversal of 105728167 is 761827501.

It is a weak prime.

It is an emirp because it is prime and its reverse (761827501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105728167 is a prime.

It is a super-2 number, since 2×105728167² = 22356890594359778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105728137) 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, 52864083 + 52864084.

It is an arithmetic number, because the mean of its divisors is an integer number (52864084).

Almost surely, 2^105728167 is an apocalyptic number.

105728167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105728167 is an equidigital number, since it uses as much as digits as its factorization.

105728167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105728167 is about 10282.4202890176. The cubic root of 105728167 is about 472.8574483228.

The spelling of 105728167 in words is "one hundred five million, seven hundred twenty-eight thousand, one hundred sixty-seven".