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An analysis of the α+core properties of 104Te along with a global discussion on the α-cluster structure above the double-shell closures is presented from the viewpoint of the local potential model. The α+core interaction is described by a nuclear potential of (1 + Gaussian)×(W.S. + W.S.3) shape with two free parameters, which has been successfully tested in nuclei of different mass regions. The model produces Qα values and α-decay half-lives for 104Te in agreement with the 2018 experimental data of Auranen et al. in the energy range 5.13 MeV<Qα<5.3 MeV using an α preformation factor Pα=1. The comparison of the calculated reduced α-widths for the ground state bands of 104Te, 94Mo and 212Po indicates that 104Te has an α-cluster degree significantly higher than 94Mo and much higher than 212Po. These results point to 104Te as a preferential nucleus for α-clustering in the N,Z=50 region and corroborate the statement on the superallowed α-decay in 104Te. Keywords: Cluster models, α-decay, B(E2), 104Te, 94Mo, 212Po