1000103203200 has 96 divisors (see below), whose sum is σ = 3294089957160. Its totient is φ = 266694184960.

The previous prime is 1000103203139. The next prime is 1000103203201. The reversal of 1000103203200 is 23023010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000103203201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52079109 + ... + 52098308.

Almost surely, 2^{1000103203200} is an apocalyptic number.

1000103203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000103203200 is an abundant number, since it is smaller than the sum of its proper divisors (2293986753960).

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

1000103203200 is a wasteful number, since it uses less digits than its factorization.

1000103203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104177444 (or 104177427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1000103203200 its reverse (23023010001), we get a palindrome (1023126213201).

The spelling of 1000103203200 in words is "one trillion, one hundred three million, two hundred three thousand, two hundred".