10505352 has 64 divisors (see below), whose sum is σ = 30864960. Its totient is φ = 2937600.

The previous prime is 10505351. The next prime is 10505353. The reversal of 10505352 is 25350501.

It is an interprime number because it is at equal distance from previous prime (10505351) and next prime (10505353).

It is a super-2 number, since 2×10505352² = 220724841287808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902 + ... + 4962.

It is an arithmetic number, because the mean of its divisors is an integer number (482265).

Almost surely, 2^10505352 is an apocalyptic number.

10505352 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 10505352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432480).

10505352 is an abundant number, since it is smaller than the sum of its proper divisors (20359608).

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

10505352 is a wasteful number, since it uses less digits than its factorization.

10505352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 10505352 is about 3241.1960755252. The cubic root of 10505352 is about 219.0131557327.

Adding to 10505352 its reverse (25350501), we get a palindrome (35855853).

The spelling of 10505352 in words is "ten million, five hundred five thousand, three hundred fifty-two".