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We investigate low-temperature electronic properties of the nondimericorganic superconductor$\beta^{\prime\prime}$-(BEDT-TTF)$_4$[(H$_3$O)Ga(C$_2$O$_4$)$_3$]PhNO$_2$. Byexamining ultrasonic properties, charge disproportionation (CD) withoutmagnetic field dependence is detected below $T_{\rm CD}$$\sim$8~K just abovethe superconducting critical temperature $T_{\rm c}$$\sim$6~K. From quantumoscillations in high fields, we find variation in the Fermi surface and massenhancement induced by the CD. Heat capacity studies elucidate that thesuperconducting gap function is fully gapped in the Fermi surface, butanisotropic with fourfold symmetry. We point out that the pairing mechanism ofthe superconductivity is possibly dominated by charge fluctuations.

Anisotropic Fully-Gapped Superconductivity Possibly Mediated by Charge Fluctuations in a Nondimeric Organic Complex