10005060105501 has 16 divisors (see below), whose sum is σ = 14090647296000. Its totient is φ = 6304764054960.

The previous prime is 10005060105437. The next prime is 10005060105503. The reversal of 10005060105501 is 10550106050001.

10005060105501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005060105501 - 2⁶ = 10005060105437 is a prime.

It is a super-2 number, since 2×10005060105501² (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 (10005060105503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250941251 + ... + 1250949248.

It is an arithmetic number, because the mean of its divisors is an integer number (880665456000).

Almost surely, 2^{10005060105501} is an apocalyptic number.

It is an amenable number.

10005060105501 is a deficient number, since it is larger than the sum of its proper divisors (4085587190499).

10005060105501 is a wasteful number, since it uses less digits than its factorization.

10005060105501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501890576.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10005060105501 its reverse (10550106050001), we get a palindrome (20555166155502).

The spelling of 10005060105501 in words is "ten trillion, five billion, sixty million, one hundred five thousand, five hundred one".