100900085 has 24 divisors (see below), whose sum is σ = 143336760. Its totient is φ = 67731840.

The previous prime is 100900081. The next prime is 100900099. The reversal of 100900085 is 580009001.

It can be written as a sum of positive squares in 4 ways, for example, as 7623121 + 93276964 = 2761^2 + 9658^2 .

It is not a de Polignac number, because 100900085 - 2² = 100900081 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100900085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100900081) 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, 1451 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (5972365).

Almost surely, 2^100900085 is an apocalyptic number.

It is an amenable number.

100900085 is a deficient number, since it is larger than the sum of its proper divisors (42436675).

100900085 is a wasteful number, since it uses less digits than its factorization.

100900085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 100900085 is about 10044.9034340804. The cubic root of 100900085 is about 465.5473340725.

Adding to 100900085 its reverse (580009001), we get a palindrome (680909086).

The spelling of 100900085 in words is "one hundred million, nine hundred thousand, eighty-five".