102212240 has 80 divisors (see below), whose sum is σ = 264826800. Its totient is φ = 36427776.

The previous prime is 102212237. The next prime is 102212261. The reversal of 102212240 is 42212201.

It can be written as a sum of positive squares in 8 ways, for example, as 283024 + 101929216 = 532^2 + 10096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 in 15 ways as a sum of consecutive naturals, for example, 28466 + ... + 31854.

It is an arithmetic number, because the mean of its divisors is an integer number (3310335).

Almost surely, 2^102212240 is an apocalyptic number.

102212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132413400).

102212240 is an abundant number, since it is smaller than the sum of its proper divisors (162614560).

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

102212240 is a wasteful number, since it uses less digits than its factorization.

102212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 102212240 is about 10110.0069238354. The cubic root of 102212240 is about 467.5567185991.

Adding to 102212240 its reverse (42212201), we get a palindrome (144424441).

The spelling of 102212240 in words is "one hundred two million, two hundred twelve thousand, two hundred forty".