Android 6.0 Developer Preview (API level 23) can natively mounts external removable USB OTG storages out-of-the-box without any additional apps (for more info please see: ht
Since Android 6, according to the USB Media Support documentation, the Storage Access Framework seems to be the only available mecanism:
In Android 6.0, any device that is not adopted is considered portable. […] Third-party apps must go through the Storage Access Framework to interact with files on portable storage; direct access is explicitly blocked for privacy and security reasons.