100 amps: the short answer
At 240 V single-phase over 100 feet,
a 100 amps copper load needs 3 AWG (about 2.04% drop). Here ampacity governs: copper 3 AWG is needed to carry 100 amps at 75 °C, and it comfortably meets the 3% voltage-drop target over 100 feet (about 2.04%).
Before you pull wire
This recommendation covers ampacity and voltage drop only, for copper at
75 °C. It does not apply ambient-temperature or conductor-count
derating, the 125% factor for continuous loads, conduit fill, or terminal ratings — any of
which can push the size up. Aluminum of the same load typically goes up one or two sizes.
Always confirm with a licensed electrician and your local code (AHJ).
Ampacity per NEC 310.16; voltage drop per NEC Ch.9 Table 8 (75 °C copper).