10790 has 16 divisors (see below), whose sum is σ = 21168. Its totient is φ = 3936.

The previous prime is 10789. The next prime is 10799. The reversal of 10790 is 9701.

10790 = 13² + 14² + ... + 32².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

2¹⁰⁷⁹⁰ is an apocalyptic number.

10790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10790 is a deficient number, since it is larger than the sum of its proper divisors (10378).

10790 is a wasteful number, since it uses less digits than its factorization.

10790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 10790 is about 103.8749247894. The cubic root of 10790 is about 22.0973646046.

Subtracting from 10790 its reverse (9701), we obtain a square (1089 = 33²).

The spelling of 10790 in words is "ten thousand, seven hundred ninety".