208441100 has 144 divisors (see below), whose sum is σ = 541632000. Its totient is φ = 69572160.

The previous prime is 208441033. The next prime is 208441109. The reversal of 208441100 is 1144802.

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

It is not an unprimeable number, because it can be changed into a prime (208441109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2023649 + ... + 2023751.

Almost surely, 2^208441100 is an apocalyptic number.

208441100 is a gapful number since it is divisible by the number (20) 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 208441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816000).

208441100 is an abundant number, since it is smaller than the sum of its proper divisors (333190900).

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

208441100 is a wasteful number, since it uses less digits than its factorization.

208441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 208441100 is about 14437.4893939355. The cubic root of 208441100 is about 592.9177503378.

Adding to 208441100 its reverse (1144802), we get a palindrome (209585902).

The spelling of 208441100 in words is "two hundred eight million, four hundred forty-one thousand, one hundred".