109116 has 36 divisors (see below), whose sum is σ = 315952. Its totient is φ = 31104.

The previous prime is 109111. The next prime is 109121. The reversal of 109116 is 611901.

It is an interprime number because it is at equal distance from previous prime (109111) and next prime (109121).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109111) by changing a digit.

109116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36 + ... + 468.

2¹⁰⁹¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157976).

109116 is an abundant number, since it is smaller than the sum of its proper divisors (206836).

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

109116 is a wasteful number, since it uses less digits than its factorization.

109116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 109116 is about 330.3271106040. The cubic root of 109116 is about 47.7855012252.

It can be divided in two parts, 109 and 116, that added together give a square (225 = 15²).

The spelling of 109116 in words is "one hundred nine thousand, one hundred sixteen".