102056144 has 30 divisors (see below), whose sum is σ = 208700370. Its totient is φ = 48339648.

The previous prime is 102056131. The next prime is 102056147. The reversal of 102056144 is 441650201.

It can be written as a sum of positive squares in only one way, i.e., 73753744 + 28302400 = 8588^2 + 5320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102056147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3059 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (6956679).

Almost surely, 2^102056144 is an apocalyptic number.

It is an amenable number.

102056144 is an abundant number, since it is smaller than the sum of its proper divisors (106644226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102056144 is a wasteful number, since it uses less digits than its factorization.

102056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17715 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 102056144 is about 10102.2840981631. The cubic root of 102056144 is about 467.3185836553.

The spelling of 102056144 in words is "one hundred two million, fifty-six thousand, one hundred forty-four".