208916101 has 6 divisors (see below), whose sum is σ = 209628902. Its totient is φ = 208205640.

The previous prime is 208916093. The next prime is 208916137. The reversal of 208916101 is 101619802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 196028001 + 12888100 = 14001^2 + 3590^2 .

It is not a de Polignac number, because 208916101 - 2³ = 208916093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 208916101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208916401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128071 + ... + 129691.

Almost surely, 2^208916101 is an apocalyptic number.

It is an amenable number.

208916101 is a deficient number, since it is larger than the sum of its proper divisors (712801).

208916101 is an frugal number, since it uses more digits than its factorization.

208916101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 208916101 is about 14453.9302959437. The cubic root of 208916101 is about 593.3677941171.

The spelling of 208916101 in words is "two hundred eight million, nine hundred sixteen thousand, one hundred one".