105172167 has 16 divisors (see below), whose sum is σ = 145433600. Its totient is φ = 67550112.

The previous prime is 105172141. The next prime is 105172219. The reversal of 105172167 is 761271501.

It is not a de Polignac number, because 105172167 - 2⁶ = 105172103 is a prime.

It is a super-2 number, since 2×105172167² = 22122369422951778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105172117) 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 in 15 ways as a sum of consecutive naturals, for example, 6834 + ... + 16032.

It is an arithmetic number, because the mean of its divisors is an integer number (9089600).

Almost surely, 2^105172167 is an apocalyptic number.

105172167 is a deficient number, since it is larger than the sum of its proper divisors (40261433).

105172167 is a wasteful number, since it uses less digits than its factorization.

105172167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 105172167 is about 10255.3482144684. The cubic root of 105172167 is about 472.0271084091.

The spelling of 105172167 in words is "one hundred five million, one hundred seventy-two thousand, one hundred sixty-seven".