The Rowenta DG5030 Pressure Iron and Steamer does not have an automatic shut-off feature.
Yes, almost all of the heaters feature automatic thermostats. These allow you to set your desired temperature and the heater will turn on and off to ensure that your environment stays consistent and comfortable.
Most electric blankets will shut off if start operating beyond a safe temperature.
Heaters for what purpose?
That question didn't even come close to making any sense.
California has the strictest regulations, so if you can, buy heaters from there.
You can buy water heaters from any home hardware store.
When pigs can fly, that'll happen
Unfortunately, heaters can put out over 1,000 Watts, which is far too much for any battery assembly to power.
They are very safe, The radiation they emit is in the below the light spectrum and doesn't burn, also they have tip over features that make them shut off.You shouldn't have any problems with them.
You can purchase water heaters at any home improvement store like Lowes or Home Depot.
You can find in-line water heaters at any of the Home Depots in NYC, or at just about any plumbing or electrical store.