10785030200 has 192 divisors, whose sum is σ = 30031411200. Its totient is φ = 3524083200.

The previous prime is 10785030167. The next prime is 10785030239. The reversal of 10785030200 is 203058701.

It is a Cunningham number, because it is equal to 103851²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 10785030200.

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, 2905946 + ... + 2909654.

It is an arithmetic number, because the mean of its divisors is an integer number (156413600).

Almost surely, 2^10785030200 is an apocalyptic number.

10785030200 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 10785030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015705600).

10785030200 is an abundant number, since it is smaller than the sum of its proper divisors (19246381000).

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

10785030200 is a wasteful number, since it uses less digits than its factorization.

10785030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 10785030200 its reverse (203058701), we get a palindrome (10988088901).

The spelling of 10785030200 in words is "ten billion, seven hundred eighty-five million, thirty thousand, two hundred".