100017664 has 40 divisors (see below), whose sum is σ = 211613688. Its totient is φ = 47063040.

The previous prime is 100017661. The next prime is 100017677. The reversal of 100017664 is 466710001.

It is a happy number.

It is a super-2 number, since 2×100017664² = 20007066224033792, which contains 22 as substring.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2959 + ... + 14449.

Almost surely, 2^100017664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105806844).

100017664 is an abundant number, since it is smaller than the sum of its proper divisors (111596024).

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

100017664 is an equidigital number, since it uses as much as digits as its factorization.

100017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100017664 is about 10000.8831610013. The cubic root of 100017664 is about 464.1862114273.

Adding to 100017664 its reverse (466710001), we get a palindrome (566727665).

The spelling of 100017664 in words is "one hundred million, seventeen thousand, six hundred sixty-four".