Stony Brook (19-5, 7-2 America East) sits alone in second place in the conference, trailing Vermont (8-1) by one game.
Jeff Otchere and Jaron Cornish added 11 points apiece for the Seawolves, who held the Bearcats to 36-percent shooting and outrebounded them 51-33. Cornish and Akwasi Yeboah each dished out six of Stony Brook's 21 assists.
Binghamton hit three straight 3s in a 9-2 run and closed to 41-34 in the second half, but the Seawolves replied with a 9-4 run and led by 16 with 12:21 to play and were never threatened.
Olaniyi, Yeboah, Latimer and Cornish each made 3s and the Seawolves jumped to a 22-10 lead, doubled the Bearcats at 37-18 and led 39-25 at halftime.
College basketball's biggest remaining offseason decisions
These NBA draft decisions, transfer decisions, and recruiting commitments will have a lot to say about college basketball's pecking order heading into 2019-20.
Jalen: Howard will bring the Fab Five back together
Jalen Rose is excited for Juwan Howard to take over as the Michigan coach, saying it is a good opportunity for the Fab Five to reunite.
Rose: Howard hiring heals Fab Five wounds
Former Fab Five member and current ESPN analyst Jalen Rose said that the hiring of Juwan Howard at Michigan resolves ongoing tension between the former teammates and with the school.