100008 has 32 divisors (see below), whose sum is σ = 278400. Its totient is φ = 33264.

The previous prime is 100003. The next prime is 100019. The reversal of 100008 is 800001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (100003) by changing a digit.

100008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (8700).

2¹⁰⁰⁰⁰⁸ is an apocalyptic number.

100008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139200).

100008 is an abundant number, since it is smaller than the sum of its proper divisors (178392).

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

100008 is a wasteful number, since it uses less digits than its factorization.

100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100008 is about 316.2404148745. The cubic root of 100008 is about 46.4171260601.

Adding to 100008 its reverse (800001), we get a palindrome (900009).

The spelling of 100008 in words is "one hundred thousand, eight".