208094100 has 72 divisors (see below), whose sum is σ = 608377728. Its totient is φ = 54912000.

The previous prime is 208094083. The next prime is 208094141. The reversal of 208094100 is 1490802.

It is a super-3 number, since 3×208094100³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25525 + ... + 32675.

Almost surely, 2^208094100 is an apocalyptic number.

208094100 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 208094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304188864).

208094100 is an abundant number, since it is smaller than the sum of its proper divisors (400283628).

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

208094100 is a wasteful number, since it uses less digits than its factorization.

208094100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 208094100 is about 14425.4670634957. The cubic root of 208094100 is about 592.5885498519.

The spelling of 208094100 in words is "two hundred eight million, ninety-four thousand, one hundred".