Since they are more likely to enter your home looking for water, these critters tend to be found near toilets, sinks, exposed pipes or plumbing. Though they can survive up to a month without food, they can live only two weeks without water. Living less than 180 days, female oriental cockroaches produce up to eight egg cases with 16 eggs per case. Female oriental cockroaches carry their egg capsules around for 30 hours before dropping them in a safe, protected area. Sixty days later, the nymphs hatch and reach maturity six to 12 months later. Pale, tan-colored nymphs are active March through summer and may molt seven to 10 times before they reach maturity in the fall. After developing into adults, oriental cockroaches usually live for six to 12 months, with females producing an average of 200 eggs in a lifetime.