1106981683200 has 1104 divisors, whose sum is σ = 4493608997760. Its totient is φ = 265751101440.

The previous prime is 1106981683187. The next prime is 1106981683219. The reversal of 1106981683200 is 23861896011.

It is a tau number, because it is divible by the number of its divisors (1104).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48129638389 + ... + 48129638411.

Almost surely, 2^{1106981683200} is an apocalyptic number.

1106981683200 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 1106981683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246804498880).

1106981683200 is an abundant number, since it is smaller than the sum of its proper divisors (3386627314560).

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

1106981683200 is an frugal number, since it uses more digits than its factorization.

1106981683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1106981683200 in words is "one trillion, one hundred six billion, nine hundred eighty-one million, six hundred eighty-three thousand, two hundred".