105366540066 has 32 divisors (see below), whose sum is σ = 215255605248. Its totient is φ = 34368695760.

The previous prime is 105366540047. The next prime is 105366540151. The reversal of 105366540066 is 660045663501.

105366540066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105366540066² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686991 + ... + 1748333.

It is an arithmetic number, because the mean of its divisors is an integer number (6726737664).

Almost surely, 2^105366540066 is an apocalyptic number.

105366540066 is an abundant number, since it is smaller than the sum of its proper divisors (109889065182).

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

105366540066 is a wasteful number, since it uses less digits than its factorization.

105366540066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67486.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 105366540066 in words is "one hundred five billion, three hundred sixty-six million, five hundred forty thousand, sixty-six".