108540000 has 300 divisors, whose sum is σ = 404842284. Its totient is φ = 28512000.

The previous prime is 108539987. The next prime is 108540001. The reversal of 108540000 is 45801.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108540001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619967 + ... + 1620033.

Almost surely, 2^108540000 is an apocalyptic number.

108540000 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 108540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202421142).

108540000 is an abundant number, since it is smaller than the sum of its proper divisors (296302284).

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

108540000 is an frugal number, since it uses more digits than its factorization.

108540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 108540000 is about 10418.2532125112. The cubic root of 108540000 is about 477.0126969446.

Adding to 108540000 its reverse (45801), we get a palindrome (108585801).

The spelling of 108540000 in words is "one hundred eight million, five hundred forty thousand".