105666610650 has 48 divisors (see below), whose sum is σ = 262661367168. Its totient is φ = 28112368000.

The previous prime is 105666610601. The next prime is 105666610663. The reversal of 105666610650 is 56016666501.

It is a super-3 number, since 3×105666610650³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752571 + ... + 881870.

It is an arithmetic number, because the mean of its divisors is an integer number (5472111816).

Almost surely, 2^105666610650 is an apocalyptic number.

105666610650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105666610650 is an abundant number, since it is smaller than the sum of its proper divisors (156994756518).

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

105666610650 is a wasteful number, since it uses less digits than its factorization.

105666610650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634887 (or 1634882 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 105666610650 in words is "one hundred five billion, six hundred sixty-six million, six hundred ten thousand, six hundred fifty".