10104584 has 48 divisors (see below), whose sum is σ = 22315500. Its totient is φ = 4276608.

The previous prime is 10104581. The next prime is 10104617. The reversal of 10104584 is 48540101.

It can be written as a sum of positive squares in 2 ways, for example, as 10099684 + 4900 = 3178^2 + 70^2 .

It is not an unprimeable number, because it can be changed into a prime (10104581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58322 + ... + 58494.

Almost surely, 2^10104584 is an apocalyptic number.

10104584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157750).

10104584 is an abundant number, since it is smaller than the sum of its proper divisors (12210916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10104584 is a wasteful number, since it uses less digits than its factorization.

10104584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 10104584 is about 3178.7708316266. The cubic root of 10104584 is about 216.1919304581.

Adding to 10104584 its reverse (48540101), we get a palindrome (58644685).

The spelling of 10104584 in words is "ten million, one hundred four thousand, five hundred eighty-four".