100108 has 12 divisors (see below), whose sum is σ = 181440. Its totient is φ = 48272.

The previous prime is 100103. The next prime is 100109. The reversal of 100108 is 801001.

It is a super-2 number, since 2×100108² = 20043223328, which contains 22 as substring.

100108 is a modest number, since divided by 108 gives 100 as remainder.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 100094 and 100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 316 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁰⁰¹⁰⁸ is an apocalyptic number.

It is an amenable number.

100108 is a deficient number, since it is larger than the sum of its proper divisors (81332).

100108 is a wasteful number, since it uses less digits than its factorization.

100108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100108 is about 316.3984829294. The cubic root of 100108 is about 46.4325920440.

Adding to 100108 its reverse (801001), we get a palindrome (901109).

The spelling of 100108 in words is "one hundred thousand, one hundred eight".