10005060 has 96 divisors (see below), whose sum is σ = 30707712. Its totient is φ = 2419200.

The previous prime is 10005053. The next prime is 10005089. The reversal of 10005060 is 6050001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78717 + ... + 78843.

It is an arithmetic number, because the mean of its divisors is an integer number (319872).

Almost surely, 2^10005060 is an apocalyptic number.

10005060 is a gapful number since it is divisible by the number (10) 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 10005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353856).

10005060 is an abundant number, since it is smaller than the sum of its proper divisors (20702652).

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

10005060 is a wasteful number, since it uses less digits than its factorization.

10005060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10005060 is about 3163.0776152349. The cubic root of 10005060 is about 215.4798010077.

Adding to 10005060 its reverse (6050001), we get a palindrome (16055061).

The spelling of 10005060 in words is "ten million, five thousand, sixty".