109170 has 24 divisors (see below), whose sum is σ = 284076. Its totient is φ = 29088.

The previous prime is 109169. The next prime is 109171. The reversal of 109170 is 71901.

It is an interprime number because it is at equal distance from previous prime (109169) and next prime (109171).

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 13689 = 309^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109170.

It is not an unprimeable number, because it can be changed into a prime (109171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517 + ... + 696.

2¹⁰⁹¹⁷⁰ is an apocalyptic number.

109170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109170 is an abundant number, since it is smaller than the sum of its proper divisors (174906).

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

109170 is a wasteful number, since it uses less digits than its factorization.

109170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 109170 is about 330.4088376542. The cubic root of 109170 is about 47.7933827199.

It can be divided in two parts, 10 and 9170, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 109170 in words is "one hundred nine thousand, one hundred seventy".