105666111005555 has 8 divisors (see below), whose sum is σ = 126799392019344. Its totient is φ = 84532849596000.

The previous prime is 105666111005509. The next prime is 105666111005617. The reversal of 105666111005555 is 555500111666501.

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

It is a de Polignac number, because none of the positive numbers 2^k-105666111005555 is a prime.

It is a super-2 number, since 2×105666111005555² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12709400 + ... + 19309610.

It is an arithmetic number, because the mean of its divisors is an integer number (15849924002418).

Almost surely, 2^{105666111005555} is an apocalyptic number.

105666111005555 is a deficient number, since it is larger than the sum of its proper divisors (21133281013789).

105666111005555 is an equidigital number, since it uses as much as digits as its factorization.

105666111005555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802117.

The product of its (nonzero) digits is 675000, while the sum is 47.

The spelling of 105666111005555 in words is "one hundred five trillion, six hundred sixty-six billion, one hundred eleven million, five thousand, five hundred fifty-five".