A $$3$$-digit integer is called a \textquotesingle D-number\textquotesingle{} if the hundreds digit is divisible by both tens digit and the units digit. For example, $931$ is a \textquotesingle D-number\textquotesingle{} because $9$ is divisible by $3$ and $1$.  How many $$3$$-digit \textquotesingle D-numbers\textquotesingle~are there? 
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