Here is a query to get the component count per App Monitor per Server
SELECT [C].Application.Node.Caption as Node
, [C].Application.Name As Application
, [C].Application.Template.Name As Template
, Count(*) as Components
From Orion.APM.Component [C]
Group by [C].Application.Name, [C].Application.Template.Name, [C].Application.Node.Caption
Order by Components Desc