108608200 has 48 divisors (see below), whose sum is σ = 253616580. Its totient is φ = 43253760.

The previous prime is 108608191. The next prime is 108608233. The reversal of 108608200 is 2806801.

It can be written as a sum of positive squares in 6 ways, for example, as 34269316 + 74338884 = 5854^2 + 8622^2 .

It is a super-2 number, since 2×108608200² = 23591482214480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50344 + ... + 52456.

Almost surely, 2^108608200 is an apocalyptic number.

108608200 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 108608200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126808290).

108608200 is an abundant number, since it is smaller than the sum of its proper divisors (145008380).

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

108608200 is a wasteful number, since it uses less digits than its factorization.

108608200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 108608200 is about 10421.5257999969. The cubic root of 108608200 is about 477.1125847111.

The spelling of 108608200 in words is "one hundred eight million, six hundred eight thousand, two hundred".