Yes, sorters is a Scrabble word!
...and is worth 7 points in Scrabble, and 7 points in Words with Friends
sorters
Noun
1. A clerk who sorts things (as letters at the post office)
2. A machine for sorting things (such as punched cards or letters) into classes
What Scrabble words can I make with the letters in sorters?
7 Letter Words
6 Letter Words
5 Letter Words
4 Letter Words
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3 Letter Words
2 Letter Words