Thinking about it, the numbers have to be in ascending order, that must be key to the trick – I'm guessing because wherever he has the stickers snaffled away, they are in rising order. There are tons of card prediction tricks that work in a similar way.
The neatest similar card trick I know is the one where a deck of cards is put into the magician's pocket, a person is asked to name a card, and then the deck is taken out to show that card is the bottom card – utterly impossible to explain at first, but dead simple when you know how it works. I've seen a neat number trick that relates to this too, where someone in the audience gives a three digit number, which is written down on a big piece of card so all the audience can see, and then the magician reaches into his pocket and pulls out a locker key, with the 3 digit number written on the key tag. This trick could be done with a combination of similar effects – although if it is, he does it incredibly well, no magicians I've asked can see exactly where he makes the moves, and it must be very hard to pull off.
It is an interesting piece of misdirection – everyone is talking about it on the internet as if the hard thing is finding out the numbers, talking about camera delays, digital vs analog delay etc. Whereas that bit isn't at all hard, as he has the numbers read out to him, live on TV, so of course he knows them. The hard thing is taking the numbers that he knows, and getting them onto the balls somehow.
Joe