285290100 has 90 divisors (see below), whose sum is σ = 924824054. Its totient is φ = 76075200.

The previous prime is 285290077. The next prime is 285290113. The reversal of 285290100 is 1092582.

It can be written as a sum of positive squares in 3 ways, for example, as 67963536 + 217326564 = 8244^2 + 14742^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 9511 + ... + 25710.

Almost surely, 2^285290100 is an apocalyptic number.

285290100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285290100 is an abundant number, since it is smaller than the sum of its proper divisors (639533954).

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

285290100 is a wasteful number, since it uses less digits than its factorization.

285290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35247 (or 35231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 285290100 is about 16890.5328512750. The cubic root of 285290100 is about 658.3076477009.

It can be divided in two parts, 285290 and 100, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 285290100 in words is "two hundred eighty-five million, two hundred ninety thousand, one hundred".