10003321400 has 96 divisors (see below), whose sum is σ = 24817868400. Its totient is φ = 3738700800.

The previous prime is 10003321337. The next prime is 10003321403. The reversal of 10003321400 is 412330001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003321403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259370 + ... + 295430.

Almost surely, 2^10003321400 is an apocalyptic number.

10003321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408934200).

10003321400 is an abundant number, since it is smaller than the sum of its proper divisors (14814547000).

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

10003321400 is a wasteful number, since it uses less digits than its factorization.

10003321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36169 (or 36160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10003321400 its reverse (412330001), we get a palindrome (10415651401).

The spelling of 10003321400 in words is "ten billion, three million, three hundred twenty-one thousand, four hundred".