105172 has 6 divisors (see below), whose sum is σ = 184058. Its totient is φ = 52584.

The previous prime is 105167. The next prime is 105173. The reversal of 105172 is 271501.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 196 = 324^2 + 14^2 .

It is a super-2 number, since 2×105172² = 22122299168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13143 + ... + 13150.

2¹⁰⁵¹⁷² is an apocalyptic number.

It is an amenable number.

105172 is a deficient number, since it is larger than the sum of its proper divisors (78886).

105172 is a wasteful number, since it uses less digits than its factorization.

105172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26297 (or 26295 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105172 is about 324.3023280829. The cubic root of 105172 is about 47.2026858569.

Adding to 105172 its reverse (271501), we get a palindrome (376673).

The spelling of 105172 in words is "one hundred five thousand, one hundred seventy-two".