108201800 has 144 divisors (see below), whose sum is σ = 299082420. Its totient is φ = 36288000.

The previous prime is 108201791. The next prime is 108201823. The reversal of 108201800 is 8102801.

It can be written as a sum of positive squares in 6 ways, for example, as 196 + 108201604 = 14^2 + 10402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 597710 + ... + 597890.

Almost surely, 2^108201800 is an apocalyptic number.

108201800 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 108201800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149541210).

108201800 is an abundant number, since it is smaller than the sum of its proper divisors (190880620).

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

108201800 is a wasteful number, since it uses less digits than its factorization.

108201800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 108201800 is about 10402.0094212609. The cubic root of 108201800 is about 476.5167398685.

The spelling of 108201800 in words is "one hundred eight million, two hundred one thousand, eight hundred".