102004224 has 160 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 28434432.

The previous prime is 102004219. The next prime is 102004249. The reversal of 102004224 is 422400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569767 + ... + 569945.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^102004224 is an apocalyptic number.

102004224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

102004224 is an abundant number, since it is smaller than the sum of its proper divisors (216189696).

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

102004224 is an equidigital number, since it uses as much as digits as its factorization.

102004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 102004224 is about 10099.7140553582. The cubic root of 102004224 is about 467.2393223924.

Adding to 102004224 its reverse (422400201), we get a palindrome (524404425).

The spelling of 102004224 in words is "one hundred two million, four thousand, two hundred twenty-four".