10385052 has 48 divisors (see below), whose sum is σ = 25546752. Its totient is φ = 3277120.

The previous prime is 10385051. The next prime is 10385057. The reversal of 10385052 is 25058301.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52618 + ... + 52814.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 2^10385052 is an apocalyptic number.

10385052 is a gapful number since it is divisible by the number (12) 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 10385052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773376).

10385052 is an abundant number, since it is smaller than the sum of its proper divisors (15161700).

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

10385052 is a wasteful number, since it uses less digits than its factorization.

10385052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10385052 is about 3222.5846769325. The cubic root of 10385052 is about 218.1739486429.

The spelling of 10385052 in words is "ten million, three hundred eighty-five thousand, fifty-two".