1081103047200 has 720 divisors, whose sum is σ = 4311143131680. Its totient is φ = 261467136000.

The previous prime is 1081103047187. The next prime is 1081103047207. The reversal of 1081103047200 is 27403011801.

1081103047200 is a `hidden beast` number, since 10 + 81 + 103 + 0 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1081103047207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 349983256 + ... + 349986344.

It is an arithmetic number, because the mean of its divisors is an integer number (5987698794).

Almost surely, 2^{1081103047200} is an apocalyptic number.

1081103047200 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 1081103047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155571565840).

1081103047200 is an abundant number, since it is smaller than the sum of its proper divisors (3230040084480).

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

1081103047200 is a wasteful number, since it uses less digits than its factorization.

1081103047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1081103047200 in words is "one trillion, eighty-one billion, one hundred three million, forty-seven thousand, two hundred".