900108 has 36 divisors (see below), whose sum is σ = 2483208. Its totient is φ = 272640.

The previous prime is 900103. The next prime is 900121. The reversal of 900108 is 801009.

900108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (900103) by changing a digit.

900108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (68978).

2⁹⁰⁰¹⁰⁸ is an apocalyptic number.

It is an amenable number.

900108 is an abundant number, since it is smaller than the sum of its proper divisors (1583100).

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

900108 is a wasteful number, since it uses less digits than its factorization.

900108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 900108 is about 948.7402173409. The cubic root of 900108 is about 96.5528002636.

Subtracting from 900108 its reverse (801009), we obtain a palindrome (99099).

The spelling of 900108 in words is "nine hundred thousand, one hundred eight".