108145024518400 has 243 divisors, whose sum is σ = 272263661594379. Its totient is φ = 42528895488000.

The previous prime is 108145024518371. The next prime is 108145024518439. The reversal of 108145024518400 is 4815420541801.

The square root of 108145024518400 is 10399280.

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

108145024518400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49813557168384 + 58331467350016 = 7057872^2 + 7637504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50748485335 + ... + 50748487465.

Almost surely, 2^{108145024518400} is an apocalyptic number.

108145024518400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108145024518400 is the 10399280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108145024518400

108145024518400 is an abundant number, since it is smaller than the sum of its proper divisors (164118637075979).

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

108145024518400 is an frugal number, since it uses more digits than its factorization.

108145024518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

The spelling of 108145024518400 in words is "one hundred eight trillion, one hundred forty-five billion, twenty-four million, five hundred eighteen thousand, four hundred".