Multivariable linear regression analyses demonstrated that considering the covariates of SBP, age, sex, BMI, BSA, heart rate, SV and LVM, both hypertension and T2DM were independently associated with LV GLPS (β = 1.469 and 1.569, p = 0.006 and 0.003, model R2 = 0.467), and T2DM but not hypertension was independently associated with LV GCPS and GRPS (β = 1.553, p = 0.002, model R2 = 0.442 and β = − 5.493, p = 0.001, model R2 = 0.425, respectively). Here, GLI3 is linked to hypertensive disorder.