102200209 has 8 divisors (see below), whose sum is σ = 108305640. Its totient is φ = 96105216.

The previous prime is 102200191. The next prime is 102200227. The reversal of 102200209 is 902002201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102200191) and next prime (102200227).

It can be written as a sum of positive squares in 4 ways, for example, as 4190209 + 98010000 = 2047^2 + 9900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102200209 - 2⁷ = 102200081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200192 and 102200201.

It is not an unprimeable number, because it can be changed into a prime (102200239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27727 + ... + 31195.

It is an arithmetic number, because the mean of its divisors is an integer number (13538205).

Almost surely, 2^102200209 is an apocalyptic number.

It is an amenable number.

102200209 is a deficient number, since it is larger than the sum of its proper divisors (6105431).

102200209 is a wasteful number, since it uses less digits than its factorization.

102200209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102200209 is about 10109.4119017874. The cubic root of 102200209 is about 467.5383731263.

The spelling of 102200209 in words is "one hundred two million, two hundred thousand, two hundred nine".