102211668 has 36 divisors (see below), whose sum is σ = 278244148. Its totient is φ = 31449600.

The previous prime is 102211663. The next prime is 102211673. The reversal of 102211668 is 866112201.

It is an interprime number because it is at equal distance from previous prime (102211663) and next prime (102211673).

It can be written as a sum of positive squares in 2 ways, for example, as 18818244 + 83393424 = 4338^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211663) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 108733 + ... + 109668.

Almost surely, 2^102211668 is an apocalyptic number.

102211668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102211668 is an abundant number, since it is smaller than the sum of its proper divisors (176032480).

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

102211668 is a wasteful number, since it uses less digits than its factorization.

102211668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218424 (or 218419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102211668 is about 10109.9786349923. The cubic root of 102211668 is about 467.5558464174. Note that the first 3 decimals are identical.

Adding to 102211668 its reverse (866112201), we get a palindrome (968323869).

The spelling of 102211668 in words is "one hundred two million, two hundred eleven thousand, six hundred sixty-eight".