102320144 has 40 divisors (see below), whose sum is σ = 211827960. Its totient is φ = 47710208.

The previous prime is 102320143. The next prime is 102320191. The reversal of 102320144 is 441023201.

It can be written as a sum of positive squares in 4 ways, for example, as 2560000 + 99760144 = 1600^2 + 9988^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (102320143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29072 + ... + 32400.

It is an arithmetic number, because the mean of its divisors is an integer number (5295699).

Almost surely, 2^102320144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105913980).

102320144 is an abundant number, since it is smaller than the sum of its proper divisors (109507816).

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

102320144 is a wasteful number, since it uses less digits than its factorization.

102320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102320144 is about 10115.3420110246. The cubic root of 102320144 is about 467.7211917158.

Adding to 102320144 its reverse (441023201), we get a palindrome (543343345).

The spelling of 102320144 in words is "one hundred two million, three hundred twenty thousand, one hundred forty-four".