1083020066700 has 288 divisors, whose sum is σ = 3703427965440. Its totient is φ = 240901324800.

The previous prime is 1083020066683. The next prime is 1083020066729. The reversal of 1083020066700 is 76600203801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7088716 + ... + 7239884.

It is an arithmetic number, because the mean of its divisors is an integer number (12859124880).

Almost surely, 2^{1083020066700} is an apocalyptic number.

1083020066700 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 1083020066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851713982720).

1083020066700 is an abundant number, since it is smaller than the sum of its proper divisors (2620407898740).

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

1083020066700 is a wasteful number, since it uses less digits than its factorization.

1083020066700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151377 (or 151370 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 1083020066700 in words is "one trillion, eighty-three billion, twenty million, sixty-six thousand, seven hundred".