108609793600 has 567 divisors, whose sum is σ = 344934810129. Its totient is φ = 33536025600.

The previous prime is 108609793577. The next prime is 108609793627. The reversal of 108609793600 is 6397906801.

The square root of 108609793600 is 329560.

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

It can be written as a sum of positive squares in only one way, i.e., 39099525696 + 69510267904 = 197736^2 + 263648^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1015044747 + ... + 1015044853.

Almost surely, 2^108609793600 is an apocalyptic number.

108609793600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108609793600 is the 329560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108609793600

108609793600 is an abundant number, since it is smaller than the sum of its proper divisors (236325016529).

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

108609793600 is a wasteful number, since it uses less digits than its factorization.

108609793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 108609793600 by its sum of digits (49), we get a square (5321879886400 = 2306920²).

108609793600 divided by its sum of digits (49) gives a square (2216526400 = 47080²).

It can be divided in two parts, 108609 and 793600, that added together give a palindrome (902209).

The spelling of 108609793600 in words is "one hundred eight billion, six hundred nine million, seven hundred ninety-three thousand, six hundred".