10650 has 24 divisors (see below), whose sum is σ = 26784. Its totient is φ = 2800.

The previous prime is 10639. The next prime is 10651. The reversal of 10650 is 5601.

10650 = T₄ + T₅ + ... + T₃₉.

10650 is nontrivially palindromic in base 4.

10650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10650² = 226845000, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10651) by changing a digit.

10650 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 115 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

2¹⁰⁶⁵⁰ is an apocalyptic number.

10650 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 10650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392).

10650 is an abundant number, since it is smaller than the sum of its proper divisors (16134).

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

10650 is a wasteful number, since it uses less digits than its factorization.

10650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10650 is about 103.1988372028. The cubic root of 10650 is about 22.0013773242.

The spelling of 10650 in words is "ten thousand, six hundred fifty".