To me, it seems that there are at least two major components: breadth and depth. "Depth" people are probably what we normally call smart people. They have excellent memory, analytical precision, quick decision, etc. They're good at navigating through a well-defined problem space quickly and confidently. They're more like athletes. They are intelligent as machines are intelligent.
On the other hand, there are "breadth" people. They are much more distracted. They're always looking for different viewpoints and hidden variables, and sometimes they worry too much about what depth people would think trivial. But sometimes their worry turned out to be crucial. Their intelligence can be sometimes characterized as "thoughtful".
The thing is that, breadth people often look slow or dumb to depth people, because they tend to digress to a seemingly irrelevant tangent. Their intelligence is more subtle and hard to measure. But I think they're definitely "smart" in their own way. We need both kinds of intelligence, but we tend to be attracted to more visible kinds of intelligence, which I think is unfortunate.