The Wolverines (9-7, 3-2 Big Ten) needed the victory after blowing a 17-point lead in their previous game against Northwestern and before hosting No. 15 Connecticut on Sunday.
Christian Watford scored 16 for the Hoosiers (7-9, 1-3) but didn't get much help. No other Indiana player scored more than seven points.
Indiana's young team was competitive for most of the game and was within 48-43 with 5:54 remaining before Michigan finished the game on a 21-2 run.
Harris had 17 of the Wolverines' 23 points during one dominant stretch in the second half.
DouDou Gueye, a 6-foot-10 center from Senegal, has signed with Ball State as a graduate transfer from South Carolina State.
Duke freshman point guard Derryck Thornton Jr. is transferring to USC, his father announced on Friday to Scout.com.
We have changes at the top of the draft and a shakeup in the lottery, with teams starting to make their final decisions. Get the latest in Chad Ford's Mock Draft 9.0.