"We hope that by contributing to a memorial fund we can help to provide the Saldanha family with the support they need at this very difficult time."
A minimum A$500,000 would be donated, SCA said.
The company has already suspended all prank calls across its network and reportedly cancelled its annual Christmas party, instead making a donation to the Lifeline and Beyond Blue charities.
Radio DJs Mel Greig and Michael Christian, who were taken off-air and whose 2Day FM show was axed, have been roundly criticised by British media for breaking their silence on TV current affairs programs rather than at a full press conference.
London's Sun newspaper described the "shamed" pair's apologies as "grovelling".
BBC TV highlighted that they didn't seem bothered by the ethics of the prank, in which they posed as the Queen and Prince Charles in a telephone call to a London hospital to gain private information about the pregnant Kate Middleton.
The Daily Mail said the two radio hosts escaped a tough grilling on TV, describing as "soft and sympathetic" the line of questioning they faced on Channel Seven's Today Tonight.
"Miss Greig's mascara was running down her face as she tearfully recounted the events that have resulted in both of them being inundated with savage comments about their behaviour," the paper said.
Commentator Richard Littlejohn said: "Until they tried to present themselves as victims, I had a scintilla of sympathy for them.
"But for Michael Christian and Mel Greig to invite the world to share their pain is unforgivable. I'm sure their remorse was sincere. Turning their public apology into a self-indulgent, self-justifying sobfest was, however, utterly nauseating."
Whatever turmoil they were experiencing, he said, they had not endured a genuine human tragedy, unlike the nurse's family and friends.
The radio hoaxers said in TV interviews they were devastated, heartbroken and sorry if they unwittingly had any part in the nurse's death.
"If we played any involvement then we're very sorry for that. And time will only tell," said a tearful Greig.
"We're incredibly sorry for the harm that we may have helped contribute (to)," said Christian.
They said there was no malice in their prank.
Greig said she was prepared to attend any inquest in London and see the nurse's family face to face.
"If that's something that they want to do, to get some closure, then I'll do that," she said.
"It was meant to be a silly little prank that so many people have done before. This wasn't meant to happen."
The nurse's family are devastated by her death and "miss her every moment of every day", according to British Labour MP Keith Vaz, who met them at the House of Commons.
Flanked by Jacintha Saldanha's husband, Benedict Barboza, and her two teenage children, the politician said: "They want the facts to be established so that they can effectively grieve."
The Duke and Duchess of Cambridge have sent their condolences to Saldanha's family.
* If it's an emergency and you feel like you or someone else is at risk, call 111. Or call Youthline 0800 376 633, Lifeline 0800 543 354, Depression Helpline 0800 111 757, What's Up 0800 942 8787 (noon-midnight).
