105557167 has 2 divisors, whose sum is σ = 105557168. Its totient is φ = 105557166.

The previous prime is 105557119. The next prime is 105557213. The reversal of 105557167 is 761755501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105557167 - 2¹⁵ = 105524399 is a prime.

It is a super-2 number, since 2×105557167² = 22284631010131778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105557117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52778583 + 52778584.

It is an arithmetic number, because the mean of its divisors is an integer number (52778584).

Almost surely, 2^105557167 is an apocalyptic number.

105557167 is a deficient number, since it is larger than the sum of its proper divisors (1).

105557167 is an equidigital number, since it uses as much as digits as its factorization.

105557167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 37.

The square root of 105557167 is about 10274.1017612247. The cubic root of 105557167 is about 472.6023846138.

The spelling of 105557167 in words is "one hundred five million, five hundred fifty-seven thousand, one hundred sixty-seven".