10566516516102 has 48 divisors (see below), whose sum is σ = 22914039861648. Its totient is φ = 3519108771840.

The previous prime is 10566516516043. The next prime is 10566516516103. The reversal of 10566516516102 is 20161561566501.

10566516516102 is a `hidden beast` number, since 1 + 0 + 56 + 65 + 16 + 516 + 10 + 2 = 666.

It is a super-2 number, since 2×10566516516102² (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 (10566516516103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99600078 + ... + 99706110.

It is an arithmetic number, because the mean of its divisors is an integer number (477375830451).

Almost surely, 2^{10566516516102} is an apocalyptic number.

10566516516102 is an abundant number, since it is smaller than the sum of its proper divisors (12347523345546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10566516516102 is a wasteful number, since it uses less digits than its factorization.

10566516516102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110805 (or 110802 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 10566516516102 in words is "ten trillion, five hundred sixty-six billion, five hundred sixteen million, five hundred sixteen thousand, one hundred two".