106170 has 16 divisors (see below), whose sum is σ = 254880. Its totient is φ = 28304.

The previous prime is 106163. The next prime is 106181. The reversal of 106170 is 71601.

It is a super-2 number, since 2×106170² = 22544137800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable 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, 1740 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (15930).

2¹⁰⁶¹⁷⁰ is an apocalyptic number.

106170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106170 is an abundant number, since it is smaller than the sum of its proper divisors (148710).

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

106170 is a wasteful number, since it uses less digits than its factorization.

106170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 106170 is about 325.8373827540. The cubic root of 106170 is about 47.3515215869.

Adding to 106170 its reverse (71601), we get a palindrome (177771).

It can be divided in two parts, 106 and 170, that added together give a triangular number (276 = T₂₃).

The spelling of 106170 in words is "one hundred six thousand, one hundred seventy".