1083105577344 has 512 divisors, whose sum is σ = 3479097600000. Its totient is φ = 298186334208.

The previous prime is 1083105577331. The next prime is 1083105577391. The reversal of 1083105577344 is 4437755013801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1083105577293 and 1083105577302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531193477 + ... + 531195515.

It is an arithmetic number, because the mean of its divisors is an integer number (6795112500).

Almost surely, 2^{1083105577344} is an apocalyptic number.

1083105577344 is a gapful number since it is divisible by the number (14) 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 1083105577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739548800000).

1083105577344 is an abundant number, since it is smaller than the sum of its proper divisors (2395992022656).

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

1083105577344 is a wasteful number, since it uses less digits than its factorization.

1083105577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 1083105577344 in words is "one trillion, eighty-three billion, one hundred five million, five hundred seventy-seven thousand, three hundred forty-four".