105666666556 has 108 divisors (see below), whose sum is σ = 220522677984. Its totient is φ = 44240430080.

The previous prime is 105666666503. The next prime is 105666666571. The reversal of 105666666556 is 655666666501.

It is a super-2 number, since 2×105666666556² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105666666556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6566136 + ... + 6582208.

It is an arithmetic number, because the mean of its divisors is an integer number (2041876648).

Almost surely, 2^105666666556 is an apocalyptic number.

It is an amenable number.

105666666556 is an abundant number, since it is smaller than the sum of its proper divisors (114856011428).

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

105666666556 is a wasteful number, since it uses less digits than its factorization.

105666666556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16180 (or 16150 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 58.

Subtracting 105666666556 from its reverse (655666666501), we obtain a palindrome (549999999945).

The spelling of 105666666556 in words is "one hundred five billion, six hundred sixty-six million, six hundred sixty-six thousand, five hundred fifty-six".