109188 has 30 divisors (see below), whose sum is σ = 286286. Its totient is φ = 36288.

The previous prime is 109171. The next prime is 109199. The reversal of 109188 is 881901.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 26244 = 288^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156 + ... + 492.

2¹⁰⁹¹⁸⁸ is an apocalyptic number.

109188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143143).

109188 is an abundant number, since it is smaller than the sum of its proper divisors (177098).

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

109188 is a wasteful number, since it uses less digits than its factorization.

109188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 109188 is about 330.4360755123. The cubic root of 109188 is about 47.7960093072.

The spelling of 109188 in words is "one hundred nine thousand, one hundred eighty-eight".