Hi Lori--
What Sharpenu said. But it's still puzzling...
Your computer never turns off (in which case you'd be burning through batteries), or does this happen sporadically?
According to the Veo 100 manual, the automatic switch-on is accomplished by completing a water-borne electrical circuit between the stem of the control button on the face, and the data port contacts on the side. I was wondering whether you had your computer in a console, and that was maybe keeping the circuit between those points wet. But I have mine in a console, and have never had that problem -- I've got a hole cut out of the side of the console to reveal the data port contacts; but the control button, in any case, is well clear of the console boot and dries quickly.
If Sharpenu's solution doesn't work (maybe with the computer module removed from any console or boot), I'd try to reset the computer (page 42 of the manual). And/or carefully remove and replace the battery, waiting long enough to make sure it resets. But otherwise, I'd say you may have a warranty issue...
--Marek