102003632250 has 256 divisors, whose sum is σ = 284274192384. Its totient is φ = 24192000000.

The previous prime is 102003632233. The next prime is 102003632359. The reversal of 102003632250 is 52236300201.

102003632250 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102003632250.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84931650 + ... + 84932850.

It is an arithmetic number, because the mean of its divisors is an integer number (1110446064).

Almost surely, 2^102003632250 is an apocalyptic number.

102003632250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003632250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142137096192).

102003632250 is an abundant number, since it is smaller than the sum of its proper divisors (182270560134).

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

102003632250 is a wasteful number, since it uses less digits than its factorization.

102003632250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 102003632250 its reverse (52236300201), we get a palindrome (154239932451).

The spelling of 102003632250 in words is "one hundred two billion, three million, six hundred thirty-two thousand, two hundred fifty".