10350 has 36 divisors (see below), whose sum is σ = 29016. Its totient is φ = 2640.

The previous prime is 10343. The next prime is 10357. The reversal of 10350 is 5301.

10350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10343) and next prime (10357).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357) 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 17 ways as a sum of consecutive naturals, for example, 439 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (806).

2¹⁰³⁵⁰ is an apocalyptic number.

10350 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 10350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508).

10350 is an abundant number, since it is smaller than the sum of its proper divisors (18666).

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

10350 is a wasteful number, since it uses less digits than its factorization.

10350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10350 is about 101.7349497469. The cubic root of 10350 is about 21.7928209113.

Adding to 10350 its reverse (5301), we get a palindrome (15651).

It can be divided in two parts, 103 and 50, that added together give a triangular number (153 = T₁₇).

The spelling of 10350 in words is "ten thousand, three hundred fifty".