102585201 has 8 divisors (see below), whose sum is σ = 140477184. Its totient is φ = 66541680.

The previous prime is 102585181. The next prime is 102585211.

102585201 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 102585201 - 2⁶ = 102585137 is a prime.

It is a super-3 number, since 3×102585201³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102585211) 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, 461985 + ... + 462206.

It is an arithmetic number, because the mean of its divisors is an integer number (17559648).

Almost surely, 2^102585201 is an apocalyptic number.

It is an amenable number.

102585201 is a deficient number, since it is larger than the sum of its proper divisors (37891983).

102585201 is an equidigital number, since it uses as much as digits as its factorization.

102585201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924231.

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 102585201 is about 10128.4352690828. The cubic root of 102585201 is about 468.1247156480.

The spelling of 102585201 in words is "one hundred two million, five hundred eighty-five thousand, two hundred one".