10104103032100 has 144 divisors (see below), whose sum is σ = 27395242592256. Its totient is φ = 3142527696000.

The previous prime is 10104103032091. The next prime is 10104103032143. The reversal of 10104103032100 is 123030140101.

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 47 ways as a sum of consecutive naturals, for example, 2148015 + ... + 4982185.

It is an arithmetic number, because the mean of its divisors is an integer number (190244740224).

Almost surely, 2^{10104103032100} is an apocalyptic number.

10104103032100 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 10104103032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697621296128).

10104103032100 is an abundant number, since it is smaller than the sum of its proper divisors (17291139560156).

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

10104103032100 is a wasteful number, since it uses less digits than its factorization.

10104103032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834666 (or 2834659 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10104103032100 its reverse (123030140101), we get a palindrome (10227133172201).

The spelling of 10104103032100 in words is "ten trillion, one hundred four billion, one hundred three million, thirty-two thousand, one hundred".