1105284540 has 144 divisors (see below), whose sum is σ = 3313124640. Its totient is φ = 274982400.

The previous prime is 1105284487. The next prime is 1105284541. The reversal of 1105284540 is 454825011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1105284498 and 1105284507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105284541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671810 + ... + 1672470.

It is an arithmetic number, because the mean of its divisors is an integer number (23007810).

Almost surely, 2^1105284540 is an apocalyptic number.

1105284540 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 1105284540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656562320).

1105284540 is an abundant number, since it is smaller than the sum of its proper divisors (2207840100).

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

1105284540 is a wasteful number, since it uses less digits than its factorization.

1105284540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 1105284540 is about 33245.8198876190. The cubic root of 1105284540 is about 1033.9305436674.

The spelling of 1105284540 in words is "one billion, one hundred five million, two hundred eighty-four thousand, five hundred forty".