10758 has 16 divisors (see below), whose sum is σ = 23616. Its totient is φ = 3240.

The previous prime is 10753. The next prime is 10771. The reversal of 10758 is 85701.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753) by changing a digit.

10758 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1476).

2¹⁰⁷⁵⁸ is an apocalyptic number.

10758 is an abundant number, since it is smaller than the sum of its proper divisors (12858).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808).

10758 is a wasteful number, since it uses less digits than its factorization.

10758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10758 is about 103.7207790175. The cubic root of 10758 is about 22.0754981895.

The spelling of 10758 in words is "ten thousand, seven hundred fifty-eight".