102216224 has 48 divisors (see below), whose sum is σ = 223715520. Its totient is φ = 45576960.

The previous prime is 102216221. The next prime is 102216227. The reversal of 102216224 is 422612201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102216221) and next prime (102216227).

It is a junction number, because it is equal to n+sod(n) for n = 102216196 and 102216205.

It is not an unprimeable number, because it can be changed into a prime (102216221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15917 + ... + 21395.

It is an arithmetic number, because the mean of its divisors is an integer number (4660740).

Almost surely, 2^102216224 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 102216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111857760).

102216224 is an abundant number, since it is smaller than the sum of its proper divisors (121499296).

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

102216224 is a wasteful number, since it uses less digits than its factorization.

102216224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 102216224 is about 10110.2039544215. The cubic root of 102216224 is about 467.5627932850.

Adding to 102216224 its reverse (422612201), we get a palindrome (524828425).

The spelling of 102216224 in words is "one hundred two million, two hundred sixteen thousand, two hundred twenty-four".