102132224 has 40 divisors (see below), whose sum is σ = 208855680. Its totient is φ = 49867776.

The previous prime is 102132223. The next prime is 102132241. The reversal of 102132224 is 422231201.

It is not an unprimeable number, because it can be changed into a prime (102132223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19697 + ... + 24335.

It is an arithmetic number, because the mean of its divisors is an integer number (5221392).

Almost surely, 2^102132224 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 102132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104427840).

102132224 is an abundant number, since it is smaller than the sum of its proper divisors (106723456).

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

102132224 is an frugal number, since it uses more digits than its factorization.

102132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102132224 is about 10106.0488817341. The cubic root of 102132224 is about 467.4346791212.

Adding to 102132224 its reverse (422231201), we get a palindrome (524363425).

The spelling of 102132224 in words is "one hundred two million, one hundred thirty-two thousand, two hundred twenty-four".