11203105200 has 180 divisors, whose sum is σ = 41746647240. Its totient is φ = 2560696320.

The previous prime is 11203105183. The next prime is 11203105211. The reversal of 11203105200 is 250130211.

It is a super-2 number, since 2×11203105200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11203105200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36465 + ... + 154064.

It is an arithmetic number, because the mean of its divisors is an integer number (231925818).

Almost surely, 2^11203105200 is an apocalyptic number.

11203105200 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 11203105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873323620).

11203105200 is an abundant number, since it is smaller than the sum of its proper divisors (30543542040).

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

11203105200 is a wasteful number, since it uses less digits than its factorization.

11203105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190564 (or 190546 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11203105200 its reverse (250130211), we get a palindrome (11453235411).

It can be divided in two parts, 11203 and 105200, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 11203105200 in words is "eleven billion, two hundred three million, one hundred five thousand, two hundred".