102313224 has 96 divisors (see below), whose sum is σ = 300245400. Its totient is φ = 31288320.

The previous prime is 102313217. The next prime is 102313229. The reversal of 102313224 is 422313201.

It is a Cunningham number, because it is equal to 10115²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 66096900 + 36216324 = 8130^2 + 6018^2 .

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 = 102313197 and 102313206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262822 + ... + 263210.

Almost surely, 2^102313224 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 102313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150122700).

102313224 is an abundant number, since it is smaller than the sum of its proper divisors (197932176).

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

102313224 is a wasteful number, since it uses less digits than its factorization.

102313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102313224 is about 10114.9999505685. Note that the first 4 decimals coincide. The cubic root of 102313224 is about 467.7106473482.

Adding to 102313224 its reverse (422313201), we get a palindrome (524626425).

The spelling of 102313224 in words is "one hundred two million, three hundred thirteen thousand, two hundred twenty-four".