10006105510511 has 16 divisors (see below), whose sum is σ = 10942927269120. Its totient is φ = 9073821814080.

The previous prime is 10006105510501. The next prime is 10006105510517. The reversal of 10006105510511 is 11501550160001.

It is a cyclic number.

It is not a de Polignac number, because 10006105510511 - 2³⁴ = 9988925641327 is a prime.

It is a super-2 number, since 2×10006105510511² (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 (10006105510517) 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, 22899995 + ... + 23332851.

It is an arithmetic number, because the mean of its divisors is an integer number (683932954320).

Almost surely, 2^{10006105510511} is an apocalyptic number.

10006105510511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10006105510511 is a deficient number, since it is larger than the sum of its proper divisors (936821758609).

10006105510511 is a wasteful number, since it uses less digits than its factorization.

10006105510511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438094.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10006105510511 its reverse (11501550160001), we get a palindrome (21507655670512).

The spelling of 10006105510511 in words is "ten trillion, six billion, one hundred five million, five hundred ten thousand, five hundred eleven".