102224112 has 40 divisors (see below), whose sum is σ = 272601600. Its totient is φ = 32975040.

The previous prime is 102224099. The next prime is 102224141. The reversal of 102224112 is 211422201.

It is a junction number, because it is equal to n+sod(n) for n = 102224091 and 102224100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32862 + ... + 35837.

It is an arithmetic number, because the mean of its divisors is an integer number (6815040).

Almost surely, 2^102224112 is an apocalyptic number.

102224112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102224112 is an abundant number, since it is smaller than the sum of its proper divisors (170377488).

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

102224112 is a wasteful number, since it uses less digits than its factorization.

102224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68741 (or 68735 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102224112 is about 10110.5940478292. The cubic root of 102224112 is about 467.5748202096.

Adding to 102224112 its reverse (211422201), we get a palindrome (313646313).

The spelling of 102224112 in words is "one hundred two million, two hundred twenty-four thousand, one hundred twelve".