100312585 has 8 divisors (see below), whose sum is σ = 122024520. Its totient is φ = 79150464.

The previous prime is 100312579. The next prime is 100312603. The reversal of 100312585 is 585213001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28334329 + 71978256 = 5323^2 + 8484^2 .

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 100312585 - 2³ = 100312577 is a prime.

It is a super-2 number, since 2×100312585² = 20125229418764450, which contains 22 as substring.

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, 137050 + ... + 137779.

It is an arithmetic number, because the mean of its divisors is an integer number (15253065).

Almost surely, 2^100312585 is an apocalyptic number.

It is an amenable number.

100312585 is a deficient number, since it is larger than the sum of its proper divisors (21711935).

100312585 is an equidigital number, since it uses as much as digits as its factorization.

100312585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274907.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 100312585 is about 10015.6170553791. The cubic root of 100312585 is about 464.6420106644.

Adding to 100312585 its reverse (585213001), we get a palindrome (685525586).

The spelling of 100312585 in words is "one hundred million, three hundred twelve thousand, five hundred eighty-five".