108036000 has 144 divisors (see below), whose sum is σ = 383547528. Its totient is φ = 28800000.

The previous prime is 108035999. The next prime is 108036001. The reversal of 108036000 is 630801.

It is an interprime number because it is at equal distance from previous prime (108035999) and next prime (108036001).

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 74442384 = 5796^2 + 8628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (108036001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34500 + ... + 37500.

Almost surely, 2^108036000 is an apocalyptic number.

108036000 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 108036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191773764).

108036000 is an abundant number, since it is smaller than the sum of its proper divisors (275511528).

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

108036000 is a wasteful number, since it uses less digits than its factorization.

108036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 108036000 is about 10394.0367519073. The cubic root of 108036000 is about 476.2732230807.

Adding to 108036000 its reverse (630801), we get a palindrome (108666801).

The spelling of 108036000 in words is "one hundred eight million, thirty-six thousand".