10005604 has 36 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 4221840.

The previous prime is 10005601. The next prime is 10005607. The reversal of 10005604 is 40650001.

It is an interprime number because it is at equal distance from previous prime (10005601) and next prime (10005607).

It is a super-2 number, since 2×10005604² = 200224222809632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005601) 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, 13557 + ... + 14275.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^10005604 is an apocalyptic number.

10005604 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 10005604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

10005604 is an abundant number, since it is smaller than the sum of its proper divisors (10678556).

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

10005604 is a wasteful number, since it uses less digits than its factorization.

10005604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10005604 is about 3163.1636062651. The cubic root of 10005604 is about 215.4837063278.

Adding to 10005604 its reverse (40650001), we get a palindrome (50655605).

It can be divided in two parts, 10005 and 604, that added together give a square (10609 = 103²).

The spelling of 10005604 in words is "ten million, five thousand, six hundred four".