10746 has 16 divisors (see below), whose sum is σ = 24000. Its totient is φ = 3564.

The previous prime is 10739. The next prime is 10753. The reversal of 10746 is 64701.

It is an interprime number because it is at equal distance from previous prime (10739) and next prime (10753).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1500).

2¹⁰⁷⁴⁶ is an apocalyptic number.

10746 is an abundant number, since it is smaller than the sum of its proper divisors (13254).

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 (12000).

10746 is a wasteful number, since it uses less digits than its factorization.

10746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10746 is about 103.6629152590. The cubic root of 10746 is about 22.0672871052.

It can be divided in two parts, 107 and 46, that added together give a triangular number (153 = T₁₇).

The spelling of 10746 in words is "ten thousand, seven hundred forty-six".