1003105552400 has 60 divisors (see below), whose sum is σ = 2754241252992. Its totient is φ = 343921902720.

The previous prime is 1003105552391. The next prime is 1003105552441. The reversal of 1003105552400 is 42555013001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003105552400.

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 11 ways as a sum of consecutive naturals, for example, 179123192 + ... + 179128791.

Almost surely, 2^{1003105552400} is an apocalyptic number.

1003105552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003105552400 is an abundant number, since it is smaller than the sum of its proper divisors (1751135700592).

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

1003105552400 is a wasteful number, since it uses less digits than its factorization.

1003105552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358252008 (or 358251997 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 1003105552400 in words is "one trillion, three billion, one hundred five million, five hundred fifty-two thousand, four hundred".