10503055200 has 288 divisors, whose sum is σ = 37419604992. Its totient is φ = 2537728000.

The previous prime is 10503055187. The next prime is 10503055217. The reversal of 10503055200 is 255030501.

It is a super-2 number, since 2×10503055200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12169969 + ... + 12170831.

It is an arithmetic number, because the mean of its divisors is an integer number (129929184).

Almost surely, 2^10503055200 is an apocalyptic number.

10503055200 is a gapful number since it is divisible by the number (10) 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 10503055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709802496).

10503055200 is an abundant number, since it is smaller than the sum of its proper divisors (26916549792).

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

10503055200 is a wasteful number, since it uses less digits than its factorization.

10503055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

Adding to 10503055200 its reverse (255030501), we get a palindrome (10758085701).

The spelling of 10503055200 in words is "ten billion, five hundred three million, fifty-five thousand, two hundred".