10566105506 has 96 divisors (see below), whose sum is σ = 18988058880. Its totient is φ = 4389440000.

The previous prime is 10566105481. The next prime is 10566105527. The reversal of 10566105506 is 60550166501.

It is a super-2 number, since 2×10566105506² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24515111 + ... + 24515541.

It is an arithmetic number, because the mean of its divisors is an integer number (197792280).

Almost surely, 2^10566105506 is an apocalyptic number.

10566105506 is a deficient number, since it is larger than the sum of its proper divisors (8421953374).

10566105506 is a wasteful number, since it uses less digits than its factorization.

10566105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 10566105506 in words is "ten billion, five hundred sixty-six million, one hundred five thousand, five hundred six".