1106943840 has 384 divisors, whose sum is σ = 4071513600. Its totient is φ = 280627200.

The previous prime is 1106943829. The next prime is 1106943841. The reversal of 1106943840 is 483496011.

1106943840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1106943795 and 1106943804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106943841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10959790 + ... + 10959890.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^1106943840 is an apocalyptic number.

1106943840 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 1106943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035756800).

1106943840 is an abundant number, since it is smaller than the sum of its proper divisors (2964569760).

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

1106943840 is a wasteful number, since it uses less digits than its factorization.

1106943840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1106943840 is about 33270.7655457460. The cubic root of 1106943840 is about 1034.4476784242.

The spelling of 1106943840 in words is "one billion, one hundred six million, nine hundred forty-three thousand, eight hundred forty".