102213320 has 32 divisors (see below), whose sum is σ = 250888320. Its totient is φ = 37168320.

The previous prime is 102213317. The next prime is 102213329. The reversal of 102213320 is 23312201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102213295 and 102213304.

It is not an unprimeable number, because it can be changed into a prime (102213329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115712 + ... + 116591.

It is an arithmetic number, because the mean of its divisors is an integer number (7840260).

Almost surely, 2^102213320 is an apocalyptic number.

102213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213320 is an abundant number, since it is smaller than the sum of its proper divisors (148675000).

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

102213320 is a wasteful number, since it uses less digits than its factorization.

102213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232325 (or 232321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102213320 is about 10110.0603361207. The cubic root of 102213320 is about 467.5583653669.

Adding to 102213320 its reverse (23312201), we get a palindrome (125525521).

The spelling of 102213320 in words is "one hundred two million, two hundred thirteen thousand, three hundred twenty".