That’s actually the Met Life Tower. Tallest in the world from 1909 to 1913 at 700 ft. Surpassed by the Woolworth building at 792 ft. The Singer building was 612 ft, tallest from 1908 to 1909, and until Sept 11 the tallest building demolished.
Next to the Met Life Tower (not in your photo) is the base of what was supposed to be the world’s tallest building if completed. The Great Depression dashed their plans however. It does have good elevator service. Only 30 stories, but has 30 elevators.
The actual Singer Building.