102414034224 has 60 divisors (see below), whose sum is σ = 286795836600. Its totient is φ = 34116717312.

The previous prime is 102414034199. The next prime is 102414034237. The reversal of 102414034224 is 422430414201.

102414034224 is a `hidden beast` number, since 10 + 24 + 1 + 403 + 4 + 224 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10687 + ... + 452705.

It is an arithmetic number, because the mean of its divisors is an integer number (4779930610).

Almost surely, 2^102414034224 is an apocalyptic number.

It is an amenable number.

102414034224 is an abundant number, since it is smaller than the sum of its proper divisors (184381802376).

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

102414034224 is a wasteful number, since it uses less digits than its factorization.

102414034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443642 (or 443633 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102414034224 its reverse (422430414201), we get a palindrome (524844448425).

The spelling of 102414034224 in words is "one hundred two billion, four hundred fourteen million, thirty-four thousand, two hundred twenty-four".