102224 has 10 divisors (see below), whose sum is σ = 198090. Its totient is φ = 51104.

The previous prime is 102217. The next prime is 102229. The reversal of 102224 is 422201.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 48400 = 232^2 + 220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102229) by changing a digit.

102224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3179 + ... + 3210.

It is an arithmetic number, because the mean of its divisors is an integer number (19809).

2¹⁰²²²⁴ is an apocalyptic number.

It is an amenable number.

102224 is a deficient number, since it is larger than the sum of its proper divisors (95866).

102224 is an equidigital number, since it uses as much as digits as its factorization.

102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102224 is about 319.7248817343. The cubic root of 102224 is about 46.7574649446.

Adding to 102224 its reverse (422201), we get a palindrome (524425).

The spelling of 102224 in words is "one hundred two thousand, two hundred twenty-four", and thus it is an iban number.