Should we pass cardholder's full credit card number to Stripe's API?

If you are integrating with Stripe, you will need to turn on an integration setting called "Handle card information directly". You can do this from the Stripe integration dashboard https://dashboard.stripe.com/settings/integration.
NOTE: We are PCI Compliant and store credit card tokens on the customer record, but since we pass the credit cards through our servers to Stripe, they require us to turn on this setting.