10642 has 8 divisors (see below), whose sum is σ = 16956. Its totient is φ = 4992.

The previous prime is 10639. The next prime is 10651. The reversal of 10642 is 24601.

10642 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 10201 + 441 = 101^2 + 21^2 .

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

It is a super-2 number, since 2×10642² = 226504328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 190.

2¹⁰⁶⁴² is an apocalyptic number.

10642 is a deficient number, since it is larger than the sum of its proper divisors (6314).

10642 is a wasteful number, since it uses less digits than its factorization.

10642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10642 is about 103.1600697945. The cubic root of 10642 is about 21.9958669922.

The spelling of 10642 in words is "ten thousand, six hundred forty-two".