Apple cinnamon bundt cake

Ingredients

• 2 1/2 cup all-purpose flour
• 1 teaspoon salt
• 1 tablespoon (ground) cinnamon
• 2 teaspoons baking powder
• 1/2 teaspoon baking soda
• 2 sticks of unsalted butter, which is about 1 cup
• 1 1/2 cups light-brown caster sugar
• 4 granny smith apples (6 pictured, but we eventually thought 4 was enough)
• 4 eggs
• 1 cup confectioners' sugar
• 2 tablespoons water