102133224 has 80 divisors (see below), whose sum is σ = 287604900. Its totient is φ = 33861888.

The previous prime is 102133223. The next prime is 102133247. The reversal of 102133224 is 422331201.

It can be written as a sum of positive squares in 2 ways, for example, as 89302500 + 12830724 = 9450^2 + 3582^2 .

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 = 102133197 and 102133206.

It is not an unprimeable number, because it can be changed into a prime (102133223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179212 + ... + 179780.

Almost surely, 2^102133224 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 102133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143802450).

102133224 is an abundant number, since it is smaller than the sum of its proper divisors (185471676).

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

102133224 is a wasteful number, since it uses less digits than its factorization.

102133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

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

The square root of 102133224 is about 10106.0983569328. The cubic root of 102133224 is about 467.4362047029.

Adding to 102133224 its reverse (422331201), we get a palindrome (524464425).

The spelling of 102133224 in words is "one hundred two million, one hundred thirty-three thousand, two hundred twenty-four".