What are the numbers divisible by 9099?

9099, 18198, 27297, 36396, 45495, 54594, 63693, 72792, 81891, 90990

There is a total of 10 numbers (up to 100000) that are divisible by 9099.
The sum of these numbers is 500445.
The arithmetic mean of these numbers is 50044.5.

How to find the numbers divisible by 9099?

Finding all the numbers that can be divided by 9099 is essentially the same as searching for the multiples of 9099: if a number N is a multiple of 9099, then 9099 is a divisor of N.

Indeed, if we assume that N is a multiple of 9099, this means there exists an integer k such that:

$k \times 9099 = N$

Conversely, the result of N divided by 9099 is this same integer k (without any remainder):

$k = \frac{N}{9099}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9099 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 9099 less than 100000):

1 × 9099 = 9099
2 × 9099 = 18198
3 × 9099 = 27297
...
9 × 9099 = 81891
10 × 9099 = 90990