285305100 has 72 divisors (see below), whose sum is σ = 827686608. Its totient is φ = 75878400.

The previous prime is 285305099. The next prime is 285305107. The reversal of 285305100 is 1503582.

It is not an unprimeable number, because it can be changed into a prime (285305107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136060 + ... + 138140.

Almost surely, 2^285305100 is an apocalyptic number.

285305100 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 285305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413843304).

285305100 is an abundant number, since it is smaller than the sum of its proper divisors (542381508).

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

285305100 is a wasteful number, since it uses less digits than its factorization.

285305100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 285305100 is about 16890.9768811635. The cubic root of 285305100 is about 658.3191850117.

Adding to 285305100 its reverse (1503582), we get a palindrome (286808682).

The spelling of 285305100 in words is "two hundred eighty-five million, three hundred five thousand, one hundred".