1106005000 has 40 divisors (see below), whose sum is σ = 2591381430. Its totient is φ = 442400000.

The previous prime is 1106004997. The next prime is 1106005031. The reversal of 1106005000 is 5006011.

It can be written as a sum of positive squares in 5 ways, for example, as 43375396 + 1062629604 = 6586^2 + 32598^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 105601 + ... + 115600.

Almost surely, 2^1106005000 is an apocalyptic number.

1106005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106005000 is an abundant number, since it is smaller than the sum of its proper divisors (1485376430).

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

1106005000 is an equidigital number, since it uses as much as digits as its factorization.

1106005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221227 (or 221208 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1106005000 is about 33256.6534696442. The cubic root of 1106005000 is about 1034.1551445974.

It can be divided in two parts, 110600 and 5000, that added together give a square (115600 = 340²).

The spelling of 1106005000 in words is "one billion, one hundred six million, five thousand".