Juice SSH
The #1 free SSH Tool for Android
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Hunter's comment
a company that's been around the block for a long time, providing a great piece of free software, run it on that cheap throw away android device, fire up those remote cloud servers on demand, has support for external bluetooth keyboards as well, a solid, trusty client that every android user should at least check out -- great little tool for logging into other cloud services (digitalocean etc) -- you can even sync your SSH connections between your other devices.
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Hunter: 
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