105666551666006 has 32 divisors (see below), whose sum is σ = 165924389221056. Its totient is φ = 50373438192000.

The previous prime is 105666551665951. The next prime is 105666551666021. The reversal of 105666551666006 is 600666155666501.

It is a happy number.

It is a super-2 number, since 2×105666551666006² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 20561216 + ... + 25181276.

It is an arithmetic number, because the mean of its divisors is an integer number (5185137163158).

Almost surely, 2^{105666551666006} is an apocalyptic number.

105666551666006 is a deficient number, since it is larger than the sum of its proper divisors (60257837555050).

105666551666006 is a wasteful number, since it uses less digits than its factorization.

105666551666006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621688.

The product of its (nonzero) digits is 34992000, while the sum is 59.

The spelling of 105666551666006 in words is "one hundred five trillion, six hundred sixty-six billion, five hundred fifty-one million, six hundred sixty-six thousand, six".