102205216 has 12 divisors (see below), whose sum is σ = 201216582. Its totient is φ = 51102592.

The previous prime is 102205189. The next prime is 102205247. The reversal of 102205216 is 612502201.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 19395216 = 9100^2 + 4404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102205193 and 102205202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1596925 + ... + 1596988.

Almost surely, 2^102205216 is an apocalyptic number.

102205216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102205216 is a deficient number, since it is larger than the sum of its proper divisors (99011366).

102205216 is an equidigital number, since it uses as much as digits as its factorization.

102205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193923 (or 3193915 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102205216 is about 10109.6595392723. The cubic root of 102205216 is about 467.5460082262.

Adding to 102205216 its reverse (612502201), we get a palindrome (714707417).

The spelling of 102205216 in words is "one hundred two million, two hundred five thousand, two hundred sixteen".