108689382176400 has 675 divisors, whose sum is σ = 414494612938219. Its totient is φ = 27270897039360.

The previous prime is 108689382176393. The next prime is 108689382176423. The reversal of 108689382176400 is 4671283986801.

The square root of 108689382176400 is 10425420.

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

108689382176400 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 8 + 9 + 3 + 8 + 217 + 6 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2542353714576 + 106147028461824 = 1594476^2 + 10302768^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31901783497 + ... + 31901786903.

Almost surely, 2^{108689382176400} is an apocalyptic number.

108689382176400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108689382176400 is the 10425420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108689382176400

108689382176400 is an abundant number, since it is smaller than the sum of its proper divisors (305805230761819).

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

108689382176400 is an frugal number, since it uses more digits than its factorization.

108689382176400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 108689382176400 in words is "one hundred eight trillion, six hundred eighty-nine billion, three hundred eighty-two million, one hundred seventy-six thousand, four hundred".