208396100 has 72 divisors (see below), whose sum is σ = 514842048. Its totient is φ = 72476800.

The previous prime is 208396087. The next prime is 208396109. The reversal of 208396100 is 1693802.

It is not an unprimeable number, because it can be changed into a prime (208396109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21182 + ... + 29418.

It is an arithmetic number, because the mean of its divisors is an integer number (7150584).

Almost surely, 2^208396100 is an apocalyptic number.

208396100 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 208396100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257421024).

208396100 is an abundant number, since it is smaller than the sum of its proper divisors (306445948).

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

208396100 is a wasteful number, since it uses less digits than its factorization.

208396100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 208396100 is about 14435.9308671107. The cubic root of 208396100 is about 592.8750792602.

The spelling of 208396100 in words is "two hundred eight million, three hundred ninety-six thousand, one hundred".