@ Naqshe, I consider urea is an inorganic fertilizer as it has man made formulae that can be formulated for various speeds of release. Although urea is also called carbamide which is an organic compound with chemical formula CO(NH2)2.
Urea is classified as an inorganic fertilizer. Inorganic fertilizers, also known as synthetic or chemical fertilizers, are manufactured using non-living materials and are not derived from organic sources. Urea is produced through a chemical reaction that combines ammonia and carbon dioxide, resulting in a white crystalline solid that contains high levels of nitrogen. It is commonly used as a nitrogen fertilizer in agriculture to provide plants with essential nutrients for growth and development. While urea is widely used in farming practices, it is important to note that organic fertilizers, which are derived from natural sources such as plant or animal matter, are also commonly used in agricultural production.
Urea is synthetic Organic fertilizer because its chemistry contains carbon, hydrogen, and oxygen (CH₄N₂O). So, on the basis of its chemical composition its organic fertilizer.
Urea is an organic compound. In fertilizer, urea is only a constituent. There are two main class of fertilizers, (i) Organic, and (ii) synthetic. Sometimes synthetic fertilizers are also called as Inorganic fertilizes but do not confuse here with the meaning of Inorganic. Both types of fertilizers may have urea as one of its constituents. Commercially available urea may be called as synthetic fertilizer but not Inorganic. Generally Inorganic means a compound that lacks C-H bond.
Organic compounds can be synthetically made, Urea is an organic compound as per its chemical definition. Urease is an enzyme that catalyzes the hydrolysis of urea into ammonia and carbon dioxide. It is required for the degradation of urea into its components.
Further you can read here https://www.britannica.com/science/urea