105666566007 has 16 divisors (see below), whose sum is σ = 143237752832. Its totient is φ = 69270513120.

The previous prime is 105666565999. The next prime is 105666566041. The reversal of 105666566007 is 700665666501.

It is a happy number.

It is not a de Polignac number, because 105666566007 - 2³ = 105666565999 is a prime.

It is a super-2 number, since 2×105666566007² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666566077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604578 + ... + 759504.

It is an arithmetic number, because the mean of its divisors is an integer number (8952359552).

Almost surely, 2^105666566007 is an apocalyptic number.

105666566007 is a deficient number, since it is larger than the sum of its proper divisors (37571186825).

105666566007 is a wasteful number, since it uses less digits than its factorization.

105666566007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158718.

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 105666566007 in words is "one hundred five billion, six hundred sixty-six million, five hundred sixty-six thousand, seven".