1106008609000 has 32 divisors (see below), whose sum is σ = 2588060147400. Its totient is φ = 442403443200.

The previous prime is 1106008608919. The next prime is 1106008609009. The reversal of 1106008609000 is 9068006011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272114549316 + 833894059684 = 521646^2 + 913178^2 .

It is a super-2 number, since 2×1106008609000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106008609009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 553003305 + ... + 553005304.

Almost surely, 2^{1106008609000} is an apocalyptic number.

1106008609000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106008609000 is an abundant number, since it is smaller than the sum of its proper divisors (1482051538400).

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

1106008609000 is a wasteful number, since it uses less digits than its factorization.

1106008609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106008630 (or 1106008616 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 1106008609000 in words is "one trillion, one hundred six billion, eight million, six hundred nine thousand".