1084813107200 has 336 divisors, whose sum is σ = 2792407643520. Its totient is φ = 417595392000.

The previous prime is 1084813107199. The next prime is 1084813107241. The reversal of 1084813107200 is 27013184801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530060446 + ... + 1530061154.

Almost surely, 2^{1084813107200} is an apocalyptic number.

1084813107200 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 1084813107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396203821760).

1084813107200 is an abundant number, since it is smaller than the sum of its proper divisors (1707594536320).

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

1084813107200 is an equidigital number, since it uses as much as digits as its factorization.

1084813107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 1084813107200 in words is "one trillion, eighty-four billion, eight hundred thirteen million, one hundred seven thousand, two hundred".