According to the following post I can look in the field properties to find out if my raster catalog is managed or unmanaged.
However, when I look, I do not have the property "Managed by GBD". I have both ArcGIS 10.0 and 10.3.1. How else can I find out which Raster Catalog I have?
Here you can see what is shown when I show the properties of the raster field.