The property that compares the mass of an object with its volume is density.
F=dP/dt. So you want the momentum to change as slowly as possible in time to minimize the force. So as you catch the egg, let your hand move backward with it for awhile, slowly bringing it to a stop. If you hold your hand steady when you catch it the force due to the impact could break it.
Answer:
i think it would be a but i am not 100% sure on that
If we are being specific, the inner core has the highest density, but if not then the core in general