208913100 has 288 divisors, whose sum is σ = 712454400. Its totient is φ = 46771200.

The previous prime is 208913099. The next prime is 208913141. The reversal of 208913100 is 1319802.

208913100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208913100² = 87289366703220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3540871 + ... + 3540929.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^208913100 is an apocalyptic number.

208913100 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 208913100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

208913100 is an abundant number, since it is smaller than the sum of its proper divisors (503541300).

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

208913100 is a wasteful number, since it uses less digits than its factorization.

208913100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 208913100 is about 14453.8264829767. The cubic root of 208913100 is about 593.3649529362.

The spelling of 208913100 in words is "two hundred eight million, nine hundred thirteen thousand, one hundred".