102252320 has 48 divisors (see below), whose sum is σ = 242190648. Its totient is φ = 40796160.

The previous prime is 102252313. The next prime is 102252329. The reversal of 102252320 is 23252201.

It can be written as a sum of positive squares in 4 ways, for example, as 102171664 + 80656 = 10108^2 + 284^2 .

It is not an unprimeable number, because it can be changed into a prime (102252329) 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 7 ways as a sum of consecutive naturals, for example, 102062 + ... + 103058.

Almost surely, 2^102252320 is an apocalyptic number.

102252320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102252320 is an abundant number, since it is smaller than the sum of its proper divisors (139938328).

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

102252320 is an equidigital number, since it uses as much as digits as its factorization.

102252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 102252320 is about 10111.9889240446. The cubic root of 102252320 is about 467.6178242109.

The spelling of 102252320 in words is "one hundred two million, two hundred fifty-two thousand, three hundred twenty".