10507 has 8 divisors (see below), whose sum is σ = 12800. Its totient is φ = 8424.

The previous prime is 10501. The next prime is 10513. The reversal of 10507 is 70501.

It is an interprime number because it is at equal distance from previous prime (10501) and next prime (10513).

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

It is a cyclic number.

It is not a de Polignac number, because 10507 - 2³ = 10499 is a prime.

It is a super-2 number, since 2×10507² = 220794098, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is the 103-rd Hogben number.

It is a Duffinian number.

10507 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (10501) by changing a digit.

It is a nontrivial repunit in base 102.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 172.

It is an arithmetic number, because the mean of its divisors is an integer number (1600).

2¹⁰⁵⁰⁷ is an apocalyptic number.

10507 is a deficient number, since it is larger than the sum of its proper divisors (2293).

10507 is an equidigital number, since it uses as much as digits as its factorization.

10507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 10507 is about 102.5036584713. The cubic root of 10507 is about 21.9024607509.

The spelling of 10507 in words is "ten thousand, five hundred seven".