10610 has 8 divisors (see below), whose sum is σ = 19116. Its totient is φ = 4240.

The previous prime is 10607. The next prime is 10613. The reversal of 10610 is 1601.

10610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 103²+1.

It is an interprime number because it is at equal distance from previous prime (10607) and next prime (10613).

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 1 = 103^2 + 1^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10610² = 225144200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10613) 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 3 ways as a sum of consecutive naturals, for example, 521 + ... + 540.

2¹⁰⁶¹⁰ is an apocalyptic number.

10610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10610 is a deficient number, since it is larger than the sum of its proper divisors (8506).

10610 is a wasteful number, since it uses less digits than its factorization.

10610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10610 is about 103.0048542545. The cubic root of 10610 is about 21.9737980069.

Subtracting from 10610 its reverse (1601), we obtain a palindrome (9009).

The spelling of 10610 in words is "ten thousand, six hundred ten".