108000900 has 324 divisors, whose sum is σ = 411640320. Its totient is φ = 23587200.

The previous prime is 108000899. The next prime is 108000913. The reversal of 108000900 is 9000801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1367061 + ... + 1367139.

Almost surely, 2^108000900 is an apocalyptic number.

108000900 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 108000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

108000900 is an abundant number, since it is smaller than the sum of its proper divisors (303639420).

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

108000900 is a wasteful number, since it uses less digits than its factorization.

108000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

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

The square root of 108000900 is about 10392.3481465932. The cubic root of 108000900 is about 476.2216384210.

Subtracting from 108000900 its reverse (9000801), we obtain a palindrome (99000099).

It can be divided in two parts, 108000 and 900, that added together give a square (108900 = 330²).

The spelling of 108000900 in words is "one hundred eight million, nine hundred", and thus it is an aban number.