90000108 has 144 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 24729600.

The previous prime is 90000107. The next prime is 90000109. The reversal of 90000108 is 80100009.

It is an interprime number because it is at equal distance from previous prime (90000107) and next prime (90000109).

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 (90000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194998 + ... + 195458.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^90000108 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 90000108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

90000108 is an abundant number, since it is smaller than the sum of its proper divisors (182432052).

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

90000108 is a wasteful number, since it uses less digits than its factorization.

90000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 523 counting only the distinct ones).

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

The square root of 90000108 is about 9486.8386726032. The cubic root of 90000108 is about 448.1406539118.

Subtracting from 90000108 its reverse (80100009), we obtain a palindrome (9900099).

The spelling of 90000108 in words is "ninety million, one hundred eight", and thus it is an aban number.