What is the type (or package) of this IC?
This isn't an IC. This is a miniature board-to-board connector. We find them a lot in mobile phones, either to connect two boards together, or to connect the screen, the camera, ... We can also find them in pocket cameras, tablets, basically anything tiny.

Some examples from Hirose, JAE, Molex, ... Every manufacturer offers some, but there is no universal standard for them.