100085285 has 8 divisors (see below), whose sum is σ = 120367896. Its totient is φ = 79891200.

The previous prime is 100085281. The next prime is 100085287. The reversal of 100085285 is 582580001.

100085285 = 221² + 222² + ... + 677².

It can be written as a sum of positive squares in 4 ways, for example, as 27102436 + 72982849 = 5206^2 + 8543^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100085285 - 2² = 100085281 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100085281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19616 + ... + 24185.

It is an arithmetic number, because the mean of its divisors is an integer number (15045987).

Almost surely, 2^100085285 is an apocalyptic number.

It is an amenable number.

100085285 is a deficient number, since it is larger than the sum of its proper divisors (20282611).

100085285 is an equidigital number, since it uses as much as digits as its factorization.

100085285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44263.

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 100085285 is about 10004.2633411961. The cubic root of 100085285 is about 464.2907985017.

The spelling of 100085285 in words is "one hundred million, eighty-five thousand, two hundred eighty-five".