282105252 has 72 divisors (see below), whose sum is σ = 837782400. Its totient is φ = 78909120.

The previous prime is 282105199. The next prime is 282105269. The reversal of 282105252 is 252501282.

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 23 ways as a sum of consecutive naturals, for example, 22252 + ... + 32547.

Almost surely, 2^282105252 is an apocalyptic number.

282105252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

282105252 is an abundant number, since it is smaller than the sum of its proper divisors (555677148).

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

282105252 is a wasteful number, since it uses less digits than its factorization.

282105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54833 (or 54828 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 282105252 is about 16795.9891640832. The cubic root of 282105252 is about 655.8487933523.

The spelling of 282105252 in words is "two hundred eighty-two million, one hundred five thousand, two hundred fifty-two".