282105616 has 135 divisors (see below), whose sum is σ = 663553791. Its totient is φ = 116093952.

The previous prime is 282105589. The next prime is 282105619. The reversal of 282105616 is 616501282.

The square root of 282105616 is 16796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 279558400 = 1596^2 + 16720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282105619) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14847655 + ... + 14847673.

Almost surely, 2^282105616 is an apocalyptic number.

282105616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

282105616 is the 16796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282105616

282105616 is an abundant number, since it is smaller than the sum of its proper divisors (381448175).

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

282105616 is a wasteful number, since it uses less digits than its factorization.

282105616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The cubic root of 282105616 is about 655.8490754324.

Adding to 282105616 its reverse (616501282), we get a palindrome (898606898).

The spelling of 282105616 in words is "two hundred eighty-two million, one hundred five thousand, six hundred sixteen".