10004111106004 has 24 divisors (see below), whose sum is σ = 18326477062656. Its totient is φ = 4772520060000.

The previous prime is 10004111105983. The next prime is 10004111106029. The reversal of 10004111106004 is 40060111140001.

It is a super-2 number, since 2×10004111106004² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568148347 + ... + 568165954.

It is an arithmetic number, because the mean of its divisors is an integer number (763603210944).

Almost surely, 2^{10004111106004} is an apocalyptic number.

It is an amenable number.

10004111106004 is a deficient number, since it is larger than the sum of its proper divisors (8322365956652).

10004111106004 is a wasteful number, since it uses less digits than its factorization.

10004111106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136314407 (or 1136314405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10004111106004 its reverse (40060111140001), we get a palindrome (50064222246005).

The spelling of 10004111106004 in words is "ten trillion, four billion, one hundred eleven million, one hundred six thousand, four".