According to one embodiment, a battery is provided. The battery includes one or more electrode stack. The one or more electrode stack includes an electrolyte layer, a first electrode layer, and a second electrode layer. The electrolyte layer includes an electrolyte and a carboxymethylcellulose sodium salt. The first electrode layer includes a first active material and a carboxymethylcellulose ammonium salt. The second electrode layer includes a second active material and a first binder soluble in an organic solvent. The first electrode layer is bound to a first surface of the electrolyte layer. The second electrode layer is bound to a second surface of the electrolyte layer on a reverse side to the first surface.