Does the iPhone 5 support iOS 10 or later?

Yes, the iPhone 5 is the oldest iPhone model that supports iOS 10 or later. iOS 10 was introduced by Apple on on Monday, June 13 during its WWDC keynote at the Bill Graham Civic Auditorium in San Francisco, California. The first beta was released to developers on June 13. The first public beta was made available summer 2016. iOS 10 also marks the end of the iPhone 4s, iPad 2/3 and original iPad mini. These and any older devices can't be upgraded to iOS 10.0 or later. Here's a list of iOS 10 supported devices:

iPhone

• iPhone 5
• iPhone 5c
• iPhone 5s
• iPhone SE
• iPhone 6 and 6 Plus
• iPhone 6s and 6 Plus
• iPhone 7 and 7 Plus

iPad

• iPad mini 2 - 4
• iPad 4
• iPad Air 1 - 2
• iPad Pro (9.7- and 12.9-inch)

iPod touch

• iPod touch (6th generation)

Older devices, such as the iPhone 5 and 5c, will not be able to support all the new features found in iOS 10 or later.