1105505856 has 504 divisors, whose sum is σ = 4173833664. Its totient is φ = 276756480.

The previous prime is 1105505851. The next prime is 1105505857. The reversal of 1105505856 is 6585055011.

1105505856 is a `hidden beast` number, since 1 + 1 + 0 + 550 + 58 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1105505856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105505851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8438911 + ... + 8439041.

It is an arithmetic number, because the mean of its divisors is an integer number (8281416).

Almost surely, 2^1105505856 is an apocalyptic number.

1105505856 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 1105505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086916832).

1105505856 is an abundant number, since it is smaller than the sum of its proper divisors (3068327808).

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

1105505856 is a wasteful number, since it uses less digits than its factorization.

1105505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The square root of 1105505856 is about 33249.1481996156. The cubic root of 1105505856 is about 1033.9995485534. Note that the first 3 decimals are identical.

The spelling of 1105505856 in words is "one billion, one hundred five million, five hundred five thousand, eight hundred fifty-six".