Every time a cell divides, it has a chance of turning malignant. Live long enough and one of those cells will win the cancer lottery and take you down if you don't catch it in time. Many forms of cancer are symptom-free long enough for this to happen (pancreatic for example) and we do not yet have the technology to easily detect this until it's late in the game.
And that's just one way to go. Then there are aneurisms and all sorts of other odd bodily defects that will eventually manifest.
Ageing is tough. That said, eat right, exercise, and get enough sleep, and you'll stand the best chance to max out your time clock.