Dwight, you live in a heavily-Catholic country, surely you know that a priest can do wonders with that holy water!
Anyway, if there are heavy tanks in amongst your artillery assets, you've got a lot more to worry about than whether the 105 can penetrate the heavy tank's armour.
I don't think the 105 could penetrate the frontal armour of a Tiger II under any circumstances, but I certainly would not want to be in the Tiger II when it took a hit from a 105mm gun.
One Allied gun was technically capable of penetrating the frontal armour of the Tiger II -- the 17 pounder firing special APDS ammunition, if it hit the turret front (very thick but not well sloped) or the lower hull (well sloped by not as thick). I don't think there's any examples of that, though -- not necessarily because the Tiger II was unbeatable, but because there just weren't many of them around, and many of the ones that were around were rendered inoperable by excessive use without proper maintenance halts (which the Tigers needed about every five seconds). You had to be a pretty unlucky tanker to have to face one of these on the front, in operating order and crewed.
In the battles outside Hungary in 1945, Tiger IIs repeatedly would take numerous hits from the 152mm gun on the ISU-152 and not get fully penetrated, though the armour was sometimes deeply gouged. The Tigers would attack these dug-in ISU positions against a superior number of defenders and basically kick butt. It was an amazing vehicle when it worked.