  PdTe is a superconductor with Tc ~4.25 K. Recently, evidence for bulk-nodal
and surface-nodeless gap features has been reported in PdTe [Yang et al., Phys.
Rev. Lett. 130, 046402 (2023)]. Here, we investigate the physical properties of
PdTe in both the normal and superconducting states via specific heat and
magnetic torque measurements and first-principles calculations. Below Tc, the
electronic specific heat initially decreases in T3 behavior (1.5 K < T < Tc)
then exponentially decays. Using the two-band model, the superconducting
specific heat can be well described with two energy gaps: one is 0.372 meV and
another 1.93 meV. The calculated bulk band structure consists of two electron
bands ({\alpha} and \b{eta}) and two hole bands ({\gamma} and {\eta}) at the
Fermi level. Experimental detection of the de Haas-van Alphen (dHvA)
oscillations allows us to identify four frequencies (F{\alpha} = 65 T, F\b{eta}
= 658 T, F{\gamma} = 1154 T, and F{\eta} = 1867 T for H // a), consistent with
theoretical predictions. Nontrivial {\alpha} and \b{eta} bands are further
identified via both calculations and the angle dependence of the dHvA
oscillations. Our results suggest that PdTe is a candidate for unconventional
superconductivity.
