108168900 has 144 divisors (see below), whose sum is σ = 376642560. Its totient is φ = 23414400.

The previous prime is 108168899. The next prime is 108168901. The reversal of 108168900 is 9861801.

It is an interprime number because it is at equal distance from previous prime (108168899) and next prime (108168901).

It is not an unprimeable number, because it can be changed into a prime (108168901) 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, 38545 + ... + 41255.

Almost surely, 2^108168900 is an apocalyptic number.

108168900 is a gapful number since it is divisible by the number (10) 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 108168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188321280).

108168900 is an abundant number, since it is smaller than the sum of its proper divisors (268473660).

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

108168900 is a wasteful number, since it uses less digits than its factorization.

108168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 108168900 is about 10400.4278758136. The cubic root of 108168900 is about 476.4684381767.

The spelling of 108168900 in words is "one hundred eight million, one hundred sixty-eight thousand, nine hundred".