1106105056 has 48 divisors (see below), whose sum is σ = 2499535584. Its totient is φ = 471988224.

The previous prime is 1106105053. The next prime is 1106105059. The reversal of 1106105056 is 6505016011.

It is an interprime number because it is at equal distance from previous prime (1106105053) and next prime (1106105059).

It is a self number, because there is not a number n which added to its sum of digits gives 1106105056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106105053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41596 + ... + 62788.

It is an arithmetic number, because the mean of its divisors is an integer number (52073658).

Almost surely, 2^1106105056 is an apocalyptic number.

1106105056 is a gapful number since it is divisible by the number (16) 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 1106105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249767792).

1106105056 is an abundant number, since it is smaller than the sum of its proper divisors (1393430528).

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

1106105056 is a wasteful number, since it uses less digits than its factorization.

1106105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443 (or 21435 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1106105056 is about 33258.1577361104. The cubic root of 1106105056 is about 1034.1863289974.

The spelling of 1106105056 in words is "one billion, one hundred six million, one hundred five thousand, fifty-six".