108201600 has 432 divisors, whose sum is σ = 441683970. Its totient is φ = 25067520.

The previous prime is 108201589. The next prime is 108201649. The reversal of 108201600 is 6102801.

It can be written as a sum of positive squares in 9 ways, for example, as 12787776 + 95413824 = 3576^2 + 9768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6364792 + ... + 6364808.

Almost surely, 2^108201600 is an apocalyptic number.

108201600 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 108201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220841985).

108201600 is an abundant number, since it is smaller than the sum of its proper divisors (333482370).

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

108201600 is a wasteful number, since it uses less digits than its factorization.

108201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 108201600 is about 10401.9998077293. Note that the first 3 decimals coincide. The cubic root of 108201600 is about 476.5164462708.

It can be divided in two parts, 108201 and 600, that added together give a palindrome (108801).

The spelling of 108201600 in words is "one hundred eight million, two hundred one thousand, six hundred".