1105056000 has 288 divisors, whose sum is σ = 4081459200. Its totient is φ = 294451200.

The previous prime is 1105055983. The next prime is 1105056013. The reversal of 1105056000 is 6505011.

1105056000 is a `hidden beast` number, since 1 + 10 + 50 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1105056000² = 2442297526272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863361 + ... + 864639.

Almost surely, 2^1105056000 is an apocalyptic number.

1105056000 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 1105056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040729600).

1105056000 is an abundant number, since it is smaller than the sum of its proper divisors (2976403200).

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

1105056000 is an equidigital number, since it uses as much as digits as its factorization.

1105056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1105056000 is about 33242.3825860903. The cubic root of 1105056000 is about 1033.8592767173.

The spelling of 1105056000 in words is "one billion, one hundred five million, fifty-six thousand".