105666566516 has 24 divisors (see below), whose sum is σ = 216247859520. Its totient is φ = 44232515712.

The previous prime is 105666566491. The next prime is 105666566521. The reversal of 105666566516 is 615665666501.

It is a happy number.

It is a super-2 number, since 2×105666566516² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43880261 + ... + 43882668.

It is an arithmetic number, because the mean of its divisors is an integer number (9010327480).

Almost surely, 2^105666566516 is an apocalyptic number.

It is an amenable number.

105666566516 is an abundant number, since it is smaller than the sum of its proper divisors (110581293004).

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

105666566516 is a wasteful number, since it uses less digits than its factorization.

105666566516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87762983 (or 87762981 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 105666566516 in words is "one hundred five billion, six hundred sixty-six million, five hundred sixty-six thousand, five hundred sixteen".