100005666605671 has 8 divisors (see below), whose sum is σ = 100592197769664. Its totient is φ = 99419232726240.

The previous prime is 100005666605563. The next prime is 100005666605687. The reversal of 100005666605671 is 176506666500001.

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 100005666605671 - 2¹³ = 100005666597479 is a prime.

It is a super-2 number, since 2×100005666605671² (a number of 29 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 (100005666905671) 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, 22258660 + ... + 26371561.

It is an arithmetic number, because the mean of its divisors is an integer number (12574024721208).

Almost surely, 2^{100005666605671} is an apocalyptic number.

100005666605671 is a deficient number, since it is larger than the sum of its proper divisors (586531163993).

100005666605671 is a wasteful number, since it uses less digits than its factorization.

100005666605671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48642281.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 100005666605671 in words is "one hundred trillion, five billion, six hundred sixty-six million, six hundred five thousand, six hundred seventy-one".