105666670007 has 8 divisors (see below), whose sum is σ = 112264212816. Its totient is φ = 99111555712.

The previous prime is 105666670003. The next prime is 105666670037. The reversal of 105666670007 is 700076666501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105666670007 - 2² = 105666670003 is a prime.

It is a super-3 number, since 3×105666670007³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105666670007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666670001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10601993 + ... + 10611954.

It is an arithmetic number, because the mean of its divisors is an integer number (14033026602).

Almost surely, 2^105666670007 is an apocalyptic number.

105666670007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105666670007 is a deficient number, since it is larger than the sum of its proper divisors (6597542809).

105666670007 is a wasteful number, since it uses less digits than its factorization.

105666670007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21214257.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 105666670007 in words is "one hundred five billion, six hundred sixty-six million, six hundred seventy thousand, seven".