10052010 has 48 divisors (see below), whose sum is σ = 26541216. Its totient is φ = 2638944.

The previous prime is 10051997. The next prime is 10052017. The reversal of 10052010 is 1025001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10051983 and 10052001.

It is not an unprimeable number, because it can be changed into a prime (10052017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5197 + ... + 6863.

It is an arithmetic number, because the mean of its divisors is an integer number (552942).

It is a vampire number, since it can be written as 2010 ⋅ 5001 (with its own digits).

Almost surely, 2^10052010 is an apocalyptic number.

10052010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10052010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270608).

10052010 is an abundant number, since it is smaller than the sum of its proper divisors (16489206).

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

10052010 is a wasteful number, since it uses less digits than its factorization.

10052010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10052010 is about 3170.4904983299. The cubic root of 10052010 is about 215.8163304916.

Adding to 10052010 its reverse (1025001), we get a palindrome (11077011).

The spelling of 10052010 in words is "ten million, fifty-two thousand, ten".