282320100 has 144 divisors (see below), whose sum is σ = 937162240. Its totient is φ = 72835200.

The previous prime is 282320083. The next prime is 282320123. The reversal of 282320100 is 1023282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82014 + ... + 85386.

Almost surely, 2^282320100 is an apocalyptic number.

282320100 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 282320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468581120).

282320100 is an abundant number, since it is smaller than the sum of its proper divisors (654842140).

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

282320100 is a wasteful number, since it uses less digits than its factorization.

282320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 282320100 is about 16802.3837594551. The cubic root of 282320100 is about 656.0152466464.

Adding to 282320100 its reverse (1023282), we get a palindrome (283343382).

The spelling of 282320100 in words is "two hundred eighty-two million, three hundred twenty thousand, one hundred".