An apparatus for cleaning and/or disinfecting a surface or object is disclosed. In one embodiment, such an apparatus includes a container that is refillable with water. A sparingly soluble solid is provided in the container and is positioned to contact the water. The sparingly soluble solid slightly dissolves in the water to form a dilute solution that acts as a cleaning and/or disinfecting solution. The sparingly soluble solid is provided in a quantity sufficient to last several refills of the container.