252103200 has 288 divisors, whose sum is σ = 897692544. Its totient is φ = 61194240.

The previous prime is 252103193. The next prime is 252103211. The reversal of 252103200 is 2301252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 252103200.

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 47 ways as a sum of consecutive naturals, for example, 1509517 + ... + 1509683.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^252103200 is an apocalyptic number.

252103200 is a gapful number since it is divisible by the number (20) 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 252103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448846272).

252103200 is an abundant number, since it is smaller than the sum of its proper divisors (645589344).

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

252103200 is a wasteful number, since it uses less digits than its factorization.

252103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 252103200 is about 15877.7580281348. The cubic root of 252103200 is about 631.7221713196.

Adding to 252103200 its reverse (2301252), we get a palindrome (254404452).

The spelling of 252103200 in words is "two hundred fifty-two million, one hundred three thousand, two hundred".