100040585 has 8 divisors (see below), whose sum is σ = 120671880. Its totient is φ = 79617024.

The previous prime is 100040569. The next prime is 100040599. The reversal of 100040585 is 585040001.

It can be written as a sum of positive squares in 4 ways, for example, as 9048064 + 90992521 = 3008^2 + 9539^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100040585 - 2⁴ = 100040569 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 100040585.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50870 + ... + 52799.

It is an arithmetic number, because the mean of its divisors is an integer number (15083985).

Almost surely, 2^100040585 is an apocalyptic number.

It is an amenable number.

100040585 is a deficient number, since it is larger than the sum of its proper divisors (20631295).

100040585 is a wasteful number, since it uses less digits than its factorization.

100040585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103867.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 100040585 is about 10002.0290441490. The cubic root of 100040585 is about 464.2216678293.

Adding to 100040585 its reverse (585040001), we get a palindrome (685080586).

The spelling of 100040585 in words is "one hundred million, forty thousand, five hundred eighty-five".