Dynamic insert into variable table statement SQL Server

Table:

DECLARE @A_Table TABLE(ID INT, att1 VARCHAR(100), att2 nvarchar(200))

Then,I need to make dynamic sql statement, so I insert into this table some data (all inside a loop):

WHILE (@i <= 100) BEGIN         
  SELECT @other_att  = NAME  FROM @other_Table where ID =  @i;
  SET @sql = 'INSERT ' + @A_Table+ '(ID,att1,att2) SELECT '+CAST(@i AS VARCHAR)+' , '''+ @other_att+''', SUM('+ @other_att') FROM '+ @EVEN_OTHER_Table;
EXEC (@sql);
END