The author studies a chemotaxis-growth system of parabolic equations of the form \(u_t=\nabla\cdot(d_1\nabla u-\chi\phi(u,v)\nabla v)+g(u)\), \(v_t=d_2\Delta v+f(v)-\beta v\) on a bounded domain in \(\mathbb R^n\). This Keller-Segel system with growth term \(g\) is considered with the uniform Neumann condition on the boundary. Main results include the characterizations of blow-ups in \(L^p\) and \(L^\infty\) norms and various conditions guaranteeing the uniform boundedness of solutions under suitable assumptions on the growth term \(g\) and \(\phi\), \(f\). It is worth noting that the commonly assumed convexity of the domain is not used in that paper.