106172 has 24 divisors (see below), whose sum is σ = 215040. Its totient is φ = 45360.

The previous prime is 106163. The next prime is 106181. The reversal of 106172 is 271601.

It is a happy number.

106172 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (106163) and next prime (106181).

It is a super-2 number, since 2×106172² = 22544987168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106172.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106172.

It is an unprimeable number.

106172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2¹⁰⁶¹⁷² is an apocalyptic number.

It is an amenable number.

106172 is an abundant number, since it is smaller than the sum of its proper divisors (108868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106172 is a wasteful number, since it uses less digits than its factorization.

106172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 106172 is about 325.8404517551. The cubic root of 106172 is about 47.3518189165.

Adding to 106172 its reverse (271601), we get a palindrome (377773).

The spelling of 106172 in words is "one hundred six thousand, one hundred seventy-two".