10950 has 24 divisors (see below), whose sum is σ = 27528. Its totient is φ = 2880.

The previous prime is 10949. The next prime is 10957. The reversal of 10950 is 5901.

10950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957) 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 11 ways as a sum of consecutive naturals, for example, 114 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1147).

2¹⁰⁹⁵⁰ is an apocalyptic number.

10950 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 10950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764).

10950 is an abundant number, since it is smaller than the sum of its proper divisors (16578).

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

10950 is a wasteful number, since it uses less digits than its factorization.

10950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10950 is about 104.6422476823. The cubic root of 10950 is about 22.2060530528.

The spelling of 10950 in words is "ten thousand, nine hundred fifty".