108000300000 has 288 divisors, whose sum is σ = 356765853024. Its totient is φ = 28604160000.

The previous prime is 108000299989. The next prime is 108000300007. The reversal of 108000300000 is 3000801.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108000300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47098854 + ... + 47101146.

It is an arithmetic number, because the mean of its divisors is an integer number (1238770323).

Almost surely, 2^108000300000 is an apocalyptic number.

108000300000 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 108000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178382926512).

108000300000 is an abundant number, since it is smaller than the sum of its proper divisors (248765553024).

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

108000300000 is an equidigital number, since it uses as much as digits as its factorization.

108000300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 108000300000 its reverse (3000801), we get a palindrome (108003300801).

It can be divided in two parts, 108000 and 300000, that multiplied together give a square (32400000000 = 180000²).

The spelling of 108000300000 in words is "one hundred eight billion, three hundred thousand".