When referring to the ability of a material to resist external forces that push into or against the material we refer to the material's:

The ability of a material to resist external forces that push into or against it pertains to its compressive strength. This attribute describes how well a material can withstand axial loads that tend to shorten or compress it. Under compression, the material is subjected to forces that act inward, and its compressive strength indicates the maximum load it can bear before deformation or failure occurs.

In contrast, tensile strength refers to the resistance of a material to being pulled apart, while shear strength measures the material’s ability to withstand forces that cause sliding or shearing along a plane. Fatigue strength is concerned with the material's durability under repeated loading cycles over time, which can lead to failure due to accumulated damage. Each of these properties is vital in different contexts, but for resisting compressive forces specifically, compressive strength is the relevant measure.