Moshe,

The surname changed to RICHMAN.  I found this info by search for the address 1657 Madison in the keyword field on Ancestry.  The name Joseph RICHMAN popped up in a 1906 NYC directory.  

I then searched for Joseph RICHMAN and found the family you seek living with Joseph at 1657 Madison.  In 1910 Abraham is calling himself Meyer Richman.
The enumerator mistakenly labels both Meyer and his wife as "in-laws," but Meyer and Joseph RICHMAN are obviously brothers.

Household Members	Age	Relationship
Joseph Richman	31	Head
Esther Richman	28	Wife
Harry Richman	6	Son
Benjamin Richman	4	Son
Annie Richman	2	Daughter
Meyer Richman	32	Brother-in-law
Rebecca Richman	30	Sister-in-law
Eva Richman	6	Niece
Philip Richman	4	Nephew

Also, Abraham was born 1877:
Galicia, Ukraine, Births, Marriages, and Deaths, 1789-1905

Name:	Abraham Meier Reichman
Event Type:	Birth
Birth Year:	1877
Birth City:	Skalat

Good luck in your search,

Sherri Bobish

Searching:
RATOWSKY / CHAIMSON (Ariogala, Lith.); LEFFENFELD / FINK / KALTER (Daliowa & Jasliska, Pol.)
BOJDA / BLEIWEISS (Tarnow & Tarnobrzeg, Pol.); WALTZMAN / WALZMAN (Ustrzyki Dolne, Pol.)
LEVY (Tyrawa Woloska, Pol.); SOLON / SOLAN / SOKOLSKY (Grodek, Bialystok, Pol.)
BOBISH / BLUMENKRANZ / APPEL / WEINER / ROSENBERG (Vysoko-Litovsk, Brest, Biala Podlaska)