108936000 has 336 divisors, whose sum is σ = 417240720. Its totient is φ = 27033600.

The previous prime is 108935971. The next prime is 108936013. The reversal of 108936000 is 639801.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 71774784 = 6096^2 + 8472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223956 + ... + 1224044.

Almost surely, 2^108936000 is an apocalyptic number.

108936000 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 108936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208620360).

108936000 is an abundant number, since it is smaller than the sum of its proper divisors (308304720).

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

108936000 is a wasteful number, since it uses less digits than its factorization.

108936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 108936000 is about 10437.2410147510. The cubic root of 108936000 is about 477.5921078130.

The spelling of 108936000 in words is "one hundred eight million, nine hundred thirty-six thousand".