Has an AFL game ever ended 109-105?
Exactly once. On August 20, 2005, Melbourne beat Footscray 109-105, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 109-105 in league history.
That makes 109-105 the 3884th most common final score out of 6,649 that have ever occurred in AFL. One point away, 110-105 has happened 6 times and 109-106 has happened 3 times.