105
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These two numbers: 135 and 180.
They are all the numbers of the form 1n5 where n is any integer.
There will be (200-100)/2+1 = 51 numbers divisible by 2.There will be Floor[(200 - 100)/3] = 33 numbers divisible by 3.Multiples of 6 from the 17th through the 33rd will be counted twice by the sum of these numbers (51+33). There are 17 of them.That means the count of numbers you are interested in is 51+33-17 = 67.
The list of whole numbers that are divisible by XXX is infinite. The first four are: 100, 200, 300, 400 . . .
There are 5 multiples of 18 between 200 and 300. (An even number divisible by 9 is any number divisible by 18).