102216852 has 36 divisors (see below), whose sum is σ = 273582036. Its totient is φ = 32067840.

The previous prime is 102216833. The next prime is 102216887. The reversal of 102216852 is 258612201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50893956 + 51322896 = 7134^2 + 7164^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82899 + ... + 84122.

It is an arithmetic number, because the mean of its divisors is an integer number (7599501).

Almost surely, 2^102216852 is an apocalyptic number.

102216852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102216852 is an abundant number, since it is smaller than the sum of its proper divisors (171365184).

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

102216852 is a wasteful number, since it uses less digits than its factorization.

102216852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167048 (or 167043 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102216852 is about 10110.2350121053. The cubic root of 102216852 is about 467.5637508265.

The spelling of 102216852 in words is "one hundred two million, two hundred sixteen thousand, eight hundred fifty-two".