108141007104 has 729 divisors, whose sum is σ = 370597910319. Its totient is φ = 30306631680.

The previous prime is 108141007097. The next prime is 108141007109. The reversal of 108141007104 is 401700141801.

The square root of 108141007104 is 328848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 976437504 + 107164569600 = 31248^2 + 327360^2 .

It is not an unprimeable number, because it can be changed into a prime (108141007109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3488419569 + ... + 3488419599.

Almost surely, 2^108141007104 is an apocalyptic number.

108141007104 is the 328848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108141007104

108141007104 is an abundant number, since it is smaller than the sum of its proper divisors (262456903215).

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

108141007104 is a wasteful number, since it uses less digits than its factorization.

108141007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 108141007104 its reverse (401700141801), we get a palindrome (509841148905).

The spelling of 108141007104 in words is "one hundred eight billion, one hundred forty-one million, seven thousand, one hundred four".