105105015666 has 80 divisors (see below), whose sum is σ = 271540076544. Its totient is φ = 29764215936.

The previous prime is 105105015629. The next prime is 105105015667. The reversal of 105105015666 is 666510501501.

It is a super-2 number, since 2×105105015666² (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 105105015666.

It is not an unprimeable number, because it can be changed into a prime (105105015667) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281970 + ... + 538253.

Almost surely, 2^105105015666 is an apocalyptic number.

105105015666 is an abundant number, since it is smaller than the sum of its proper divisors (166435060878).

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

105105015666 is a wasteful number, since it uses less digits than its factorization.

105105015666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820357 (or 820348 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105105015666 in words is "one hundred five billion, one hundred five million, fifteen thousand, six hundred sixty-six".