Preheat oven to 325°.
Combine eggs, yolks and sour cream in a small bowl and mix to combine. Set aside.
Add sugar, flour, baking powder, cinnamon and baking soda in the bowl of a stand mixer fitted with the paddle attachment. Mix for one minute on low speed to combine ingredients. Note: a hand mixer may also be used.
Add softened butter and mix on low speed for 3 minutes.
Add half of the egg/sour cream mixture to the mixing bowl and combine on low speed for one minute. Scrap sides of bowl.
Add remaining egg/sour cream mixture to the mixing bowl and combine on low speed for one minute. Scrape sides of bowl and mix on low speed for another minute.
Add the chopped apples to the cake batter. Stir in by hand until well distributed.
Add ½ of the cake batter to the prepared pan and smooth with a rubber spatula. Use the back of a spoon to create a tunnel in the batter.
Pipe the cream cheese / dulce de leche mixture into the tunnel you just created. Take care to keep the mixture away from the sides of the pan.
Add the remaining cake batter to the pan. Smooth gently with an rubber spatula.
Bake for 50 minutes at 325° or until top is quite brown and a toothpick inserted in the center comes out clean.
Remove pan from oven and cool upright for 15 minutes.
Flip pan upside down onto a cooling rack and let cool completely. Remove pan - cake should release from pan on its own. If not, use blunt knife and gently loosen sides.