It's a 50/50 change once 105, and given that the odds of 32 coin tosses all coming up heads is 1 in 4,294,967,296 does that mean there's a 137 year old person running around somewhere?
http://www.pewresearch.org/fact-tank/2016/04/21/worlds-cente... claims there are about half a million centenarians now. At 50% mortality/year, half of them should be between 100 and 101 years old, but chances are it’s higher because the world’s population was growing fast a century ago.
That would give us one or two 118 to 119 year olds 18 years from now. I wouldn’t rule that out.