To find the number, we can set up the equation based on the information provided:
Let the unknown number be \( x \). According to the problem, the product of this number and 12 is 108. This can be expressed as:
\[ 12x = 108 \]
Now, to solve for \( x \), we can divide both sides of the equation by 12:
\[ x = \frac{108}{12} \]
Calculating the right side:
\[ x = 9 \]
Therefore, the number is \( 9 \).