102104224 has 48 divisors (see below), whose sum is σ = 206153640. Its totient is φ = 49766400.

The previous prime is 102104221. The next prime is 102104239. The reversal of 102104224 is 422401201.

It can be written as a sum of positive squares in 4 ways, for example, as 101364624 + 739600 = 10068^2 + 860^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102104198 and 102104207.

It is not an unprimeable number, because it can be changed into a prime (102104221) by changing a digit.

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, 254424 + ... + 254824.

Almost surely, 2^102104224 is an apocalyptic number.

It is an amenable number.

102104224 is an abundant number, since it is smaller than the sum of its proper divisors (104049416).

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

102104224 is a wasteful number, since it uses less digits than its factorization.

102104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102104224 is about 10104.6634778205. The cubic root of 102104224 is about 467.3919587902.

Adding to 102104224 its reverse (422401201), we get a palindrome (524505425).

The spelling of 102104224 in words is "one hundred two million, one hundred four thousand, two hundred twenty-four".