Let $\text{D}$ be a recurring decimal of the form, $\text{D} = 0.a_1a_2a_1a_2a_1a_2 \dots,$ where digits $a_1$ and $a_2$ lie between $0$ and $9.$ Further, at most one of them is zero. Then which of the following numbers necessarily produces an integer, when multiplied by $\text{D}?$
- $18$
- $108$
- $198$
- $288$