10052610 has 64 divisors (see below), whose sum is σ = 26687232. Its totient is φ = 2410496.

The previous prime is 10052599. The next prime is 10052657. The reversal of 10052610 is 1625001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10052610.

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, 11302 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (416988).

Almost surely, 2^10052610 is an apocalyptic number.

10052610 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 10052610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343616).

10052610 is an abundant number, since it is smaller than the sum of its proper divisors (16634622).

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

10052610 is a wasteful number, since it uses less digits than its factorization.

10052610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10052610 is about 3170.5851195008. The cubic root of 10052610 is about 215.8206243997.

Adding to 10052610 its reverse (1625001), we get a palindrome (11677611).

The spelling of 10052610 in words is "ten million, fifty-two thousand, six hundred ten".