1011103200 has 216 divisors, whose sum is σ = 3584723688. Its totient is φ = 268170240.

The previous prime is 1011103199. The next prime is 1011103211. The reversal of 1011103200 is 23011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2282179 + ... + 2282621.

It is an arithmetic number, because the mean of its divisors is an integer number (16595943).

Almost surely, 2^1011103200 is an apocalyptic number.

1011103200 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 1011103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792361844).

1011103200 is an abundant number, since it is smaller than the sum of its proper divisors (2573620488).

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

1011103200 is a wasteful number, since it uses less digits than its factorization.

1011103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011103200 is about 31797.8489838542. The cubic root of 1011103200 is about 1003.6874526465.

Adding to 1011103200 its reverse (23011101), we get a palindrome (1034114301).

The spelling of 1011103200 in words is "one billion, eleven million, one hundred three thousand, two hundred".