100005666229 has 8 divisors (see below), whose sum is σ = 114510726080. Its totient is φ = 85555240416.

The previous prime is 100005666197. The next prime is 100005666253. The reversal of 100005666229 is 922666500001.

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 100005666229 - 2⁵ = 100005666197 is a prime.

It is a super-2 number, since 2×100005666229² (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 (100005666529) 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, 13654584 + ... + 13661905.

It is an arithmetic number, because the mean of its divisors is an integer number (14313840760).

Almost surely, 2^100005666229 is an apocalyptic number.

It is an amenable number.

100005666229 is a deficient number, since it is larger than the sum of its proper divisors (14505059851).

100005666229 is an equidigital number, since it uses as much as digits as its factorization.

100005666229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27317019.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 100005666229 in words is "one hundred billion, five million, six hundred sixty-six thousand, two hundred twenty-nine".