University president Rodney Erickson issued a statement calling the announcement a step forward for victims and the school.
"We cannot undo what has been done, but we can and must do everything possible to learn from this and ensure it never happens again at Penn State," said Erickson, who announced the day Sandusky was convicted in June 2012 of 45 criminal counts that Penn State was determined to compensate his victims.
The settlements have been unfolding since mid-August, when attorneys for the accusers began to disclose them. Penn State followed a policy in which it has not been confirming them, waiting instead to announce deals at once.
Harrisburg lawyer Ben Andreozzi, who helped negotiate several of the settlements, said his clients were satisfied.
"They felt that the university treated them fairly with the economic and noneconomic terms of the settlement," said Andreozzi, who also represents some others who have come forward recently. Those new claims have not been presented to the university, he said.
Penn State has spent more than $50 million on other costs related to the Sandusky scandal, including lawyers' fees, public relations expenses, and adoption of new policies and procedures related to children and sexual abuse complaints.
It said Monday that liability insurance is expected to cover the payments and legal defense, and expenses not covered should be paid from interest paid on loans by Penn State to its self-supporting units.
Sandusky, 69, has been pursuing appeals while he serves a 30- to 60-year state prison sentence.
He was convicted of abusing 10 boys, some of them at Penn State facilities. Eight young men testified against him, describing a range of abuse they said went from grooming and manipulation to fondling, oral sex and anal rape when they were boys.
Sandusky did not testify at his trial but has long asserted his innocence. He has acknowledged he showered with boys but insisted he never molested them.
The abuse scandal rocked Penn State, bringing down football coach Joe Paterno and leading college sports' governing body, the NCAA, to levy unprecedented sanctions against the university's football program.
Three former Penn State administrators await trial in Harrisburg on charges they engaged in a criminal cover-up of the Sandusky scandal. Former president Graham Spanier, retired vice president Gary Schultz and retired athletic director Tim Curley deny the allegations, and a trial date has not been scheduled.
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