1005408104 has 72 divisors (see below), whose sum is σ = 2064635190. Its totient is φ = 458597376.

The previous prime is 1005408071. The next prime is 1005408113. The reversal of 1005408104 is 4018045001.

It can be written as a sum of positive squares in 3 ways, for example, as 959140900 + 46267204 = 30970^2 + 6802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1005408104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10364984 + ... + 10365080.

Almost surely, 2^1005408104 is an apocalyptic number.

It is an amenable number.

1005408104 is an abundant number, since it is smaller than the sum of its proper divisors (1059227086).

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

1005408104 is an equidigital number, since it uses as much as digits as its factorization.

1005408104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1005408104 is about 31708.1709343191. The cubic root of 1005408104 is about 1001.7994613300.

The spelling of 1005408104 in words is "one billion, five million, four hundred eight thousand, one hundred four".