Frazier, with seven assists, became the fourth player in Penn State history to total more than 1,000 career points and 500 assists.
Penn State, which averaged nearly 82 points per game through its first five contests, maintained its hot hand from the field. Penn State shot 53.8 percent from the floor and converted 9 of 24 shots from 3-point range.
Roberts was 6 for 6 from the foul line as Penn State was 19 for 24 overall. The Lions also won the rebounding battle with a 34-21 edge. Newbill chipped in with nine and Frazier seven.
Monmouth (1-4) stayed with Penn State for most of the opening half, closing to within five late, but a 3-pointer by Roberts and a short jumper from Ross Travis opened a 10-point lead.
Josh James' 12 points led the Hawks.
A series of Monmouth turnovers and missed shots enabled Penn State to pull away just four minutes into the second half.
The Hawks, who have no seniors on their roster, committed just five turnovers in the first half but were guilty of five in the opening five minutes of the second as Penn State's defensive pressure enabled the Lions to roll up a 19-4 run.
Sixteen overall turnovers by Monmouth led to 24 points for Penn State.
Penn State's Frazier, Newbill, Ross Travis and Alan Wisniewski combined for a quick 15 points to open the second half. Wisniewski hit the floor to save a possession on an errant Frazier 3-pointer and quickly tossed the ball to an open Frazier who converted from the top of the key and the rout was on.
Each team maintained its shooting pace deep into the game. The Hawks' cold spell netted just 11 points in the first 15 minutes of the second half while the red-hot Lions approached the 55-percent range before cooling down late.