100017666 has 80 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 28226880.

The previous prime is 100017661. The next prime is 100017677. The reversal of 100017666 is 666710001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100017661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100431 + ... + 101421.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2^100017666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100017666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

100017666 is an abundant number, since it is smaller than the sum of its proper divisors (159251454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100017666 is an equidigital number, since it uses as much as digits as its factorization.

100017666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100017666 is about 10000.8832609925. The cubic root of 100017666 is about 464.1862145213.

Adding to 100017666 its reverse (666710001), we get a palindrome (766727667).

The spelling of 100017666 in words is "one hundred million, seventeen thousand, six hundred sixty-six".