does the Islamic State have a population in the sense of the statehood criteria?

Is the "Islamic State" a state in the sense of international law? After all, two out of the three classical criteria for statehood can be said to be fulfilled as it has been controlling a considerable portion of territory for quite some time now and it seems to be functioning better than some well-established states. The main question (leaving the old doctrinal debate on recognition aside) is whether it has a permanent population.
Some try to portray it as as an alien force composed of countless foreign soldiers and thus somewhat acting against the will of those living under its reign. That, however, seems to be only part of the story. After all, an insightful VICE documentary on the Islamic State from a couple of months ago reveals that it guarantees one thing people yearn during times of war: Stability and security. This finding is further supported by a more recent VICE documentary on people living in territory re-captured from the Islamic State by Kurdish Peshmerga forces. As one of the men there says, "May God save the Islamic State. [...] the Islamic State has discipline". From this perspective, it could certainly be argued that the Islamic State also has a permanent population. After all, we must not forget the countless former colonies lacking a sense of common identity, nationhood, unity, or trust into their government.