10004168100 has 144 divisors (see below), whose sum is σ = 30609040896. Its totient is φ = 2518656000.

The previous prime is 10004168051. The next prime is 10004168147. The reversal of 10004168100 is 186140001.

10004168100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10004168100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368182 + ... + 394418.

It is an arithmetic number, because the mean of its divisors is an integer number (212562784).

Almost surely, 2^10004168100 is an apocalyptic number.

10004168100 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 10004168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304520448).

10004168100 is an abundant number, since it is smaller than the sum of its proper divisors (20604872796).

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

10004168100 is a wasteful number, since it uses less digits than its factorization.

10004168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26326 (or 26319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 10004168100 in words is "ten billion, four million, one hundred sixty-eight thousand, one hundred".