1002104313600 has 864 divisors, whose sum is σ = 3733240612864. Its totient is φ = 235030118400.

The previous prime is 1002104313599. The next prime is 1002104313607. The reversal of 1002104313600 is 63134012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002104313607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518418234 + ... + 518420166.

Almost surely, 2^{1002104313600} is an apocalyptic number.

1002104313600 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 1002104313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866620306432).

1002104313600 is an abundant number, since it is smaller than the sum of its proper divisors (2731136299264).

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

1002104313600 is a wasteful number, since it uses less digits than its factorization.

1002104313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1002104313600 its reverse (63134012001), we get a palindrome (1065238325601).

The spelling of 1002104313600 in words is "one trillion, two billion, one hundred four million, three hundred thirteen thousand, six hundred".