1005605000 has 40 divisors (see below), whose sum is σ = 2356144230. Its totient is φ = 402240000.

The previous prime is 1005604973. The next prime is 1005605017. The reversal of 1005605000 is 5065001.

It can be written as a sum of positive squares in 5 ways, for example, as 69122596 + 936482404 = 8314^2 + 30602^2 .

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

It is a super-2 number, since 2×1005605000² = 2022482832050000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005605000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 95561 + ... + 105560.

Almost surely, 2^1005605000 is an apocalyptic number.

1005605000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005605000 is an abundant number, since it is smaller than the sum of its proper divisors (1350539230).

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

1005605000 is an equidigital number, since it uses as much as digits as its factorization.

1005605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201147 (or 201128 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1005605000 is about 31711.2755971752. The cubic root of 1005605000 is about 1001.8648534930.

The spelling of 1005605000 in words is "one billion, five million, six hundred five thousand".