10005500106004 has 48 divisors (see below), whose sum is σ = 19455496945920. Its totient is φ = 4473440599680.

The previous prime is 10005500106001. The next prime is 10005500106113. The reversal of 10005500106004 is 40060100550001.

It is a super-2 number, since 2×10005500106004² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005500106001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22759762 + ... + 23195209.

It is an arithmetic number, because the mean of its divisors is an integer number (405322853040).

Almost surely, 2^{10005500106004} is an apocalyptic number.

It is an amenable number.

10005500106004 is a deficient number, since it is larger than the sum of its proper divisors (9449996839916).

10005500106004 is a wasteful number, since it uses less digits than its factorization.

10005500106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45955120 (or 45955118 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 10005500106004 its reverse (40060100550001), we get a palindrome (50065600656005).

The spelling of 10005500106004 in words is "ten trillion, five billion, five hundred million, one hundred six thousand, four".