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.
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