[Math] If you have 100 spheres packed into a sphere shape, how many will be on the surface

Question

My question is more about ratios. I'm wondering is there a calculator or formula I can input an X number of Spheres. If the spheres are packed in a spherical shape what is the ratio of The interior spheres compared to the spheres on the surface?
Thanks

Answer 1

This is an unsolved problem. Here is a description for $X\le 12$.

Also, follow this other thread for more information on the subject