1105863840 has 336 divisors, whose sum is σ = 4131540000. Its totient is φ = 278816256.

The previous prime is 1105863827. The next prime is 1105863853. The reversal of 1105863840 is 483685011.

1105863840 is a `hidden beast` number, since 1 + 1 + 0 + 586 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1105863827) and next prime (1105863853).

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 = 1105863795 and 1105863804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2215911 + ... + 2216409.

It is an arithmetic number, because the mean of its divisors is an integer number (12296250).

Almost surely, 2^1105863840 is an apocalyptic number.

1105863840 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 1105863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065770000).

1105863840 is an abundant number, since it is smaller than the sum of its proper divisors (3025676160).

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

1105863840 is an equidigital number, since it uses as much as digits as its factorization.

1105863840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1105863840 is about 33254.5311198339. The cubic root of 1105863840 is about 1034.1111461371. Note that the first 4 decimals are identical.

The spelling of 1105863840 in words is "one billion, one hundred five million, eight hundred sixty-three thousand, eight hundred forty".