Looks like quick-setting plaster bandage. The question is why you think you need it.
What kind of walls do you have in the apartment? When was the apartment built?
If it's light powder and easy to drill, it's probably just the plaster you're in and you need to drill deeper.
If it's black powder that stains, it's likely slag block. In that case, coarse wood screws without plugs or pre-drilling work well.