A food waste disposer system has a food waste disposer and a rechargeable power source that provides power to a motor of the food waste disposer. In an aspect, the motor is a permanent magnet DC motor having a nominal no-load speed in the range of 15,000 revolutions per minute to 30,000 revolutions per minute and the motor section includes a gear reduction mechanism. In an aspect, the food waste disposer system includes a power module that communicates wirelessly with a wireless activator. In an aspect, a stopper receivable in an inlet of the food waste disposer includes or is couplable to a power source which in an aspect is a rechargeable power source and in an aspect, is disposed in a housing of the stopper. In an aspect, the stopper includes a cord for coupling the stopper to the power source which is a source of AC power.