10506105505 has 64 divisors (see below), whose sum is σ = 15004661760. Its totient is φ = 6913299456.

The previous prime is 10506105503. The next prime is 10506105517. The reversal of 10506105505 is 50550160501.

It is not a de Polignac number, because 10506105505 - 2¹ = 10506105503 is a prime.

It is a super-2 number, since 2×10506105505² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506105503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27720406 + ... + 27720784.

It is an arithmetic number, because the mean of its divisors is an integer number (234447840).

Almost surely, 2^10506105505 is an apocalyptic number.

It is an amenable number.

10506105505 is a deficient number, since it is larger than the sum of its proper divisors (4498556255).

10506105505 is a wasteful number, since it uses less digits than its factorization.

10506105505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 10506105505 in words is "ten billion, five hundred six million, one hundred five thousand, five hundred five".