102322224 has 160 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 32348160.

The previous prime is 102322223. The next prime is 102322261. The reversal of 102322224 is 422223201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102322197 and 102322206.

It is not an unprimeable number, because it can be changed into a prime (102322223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938682 + ... + 938790.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^102322224 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 102322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

102322224 is an abundant number, since it is smaller than the sum of its proper divisors (207032976).

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

102322224 is a wasteful number, since it uses less digits than its factorization.

102322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102322224 is about 10115.4448246234. Note that the first 3 decimals coincide. The cubic root of 102322224 is about 467.7243610281.

Adding to 102322224 its reverse (422223201), we get a palindrome (524545425).

The spelling of 102322224 in words is "one hundred two million, three hundred twenty-two thousand, two hundred twenty-four".