102210320 has 20 divisors (see below), whose sum is σ = 237639180. Its totient is φ = 40884096.

The previous prime is 102210313. The next prime is 102210323. The reversal of 102210320 is 23012201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 22429696 = 8932^2 + 4736^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (102210323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638735 + ... + 638894.

It is an arithmetic number, because the mean of its divisors is an integer number (11881959).

Almost surely, 2^102210320 is an apocalyptic number.

102210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210320 is an abundant number, since it is smaller than the sum of its proper divisors (135428860).

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

102210320 is a wasteful number, since it uses less digits than its factorization.

102210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277642 (or 1277636 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102210320 is about 10109.9119679649. The cubic root of 102210320 is about 467.5537909833.

Adding to 102210320 its reverse (23012201), we get a palindrome (125222521).

The spelling of 102210320 in words is "one hundred two million, two hundred ten thousand, three hundred twenty".