100507 has 4 divisors (see below), whose sum is σ = 109656. Its totient is φ = 91360.

The previous prime is 100501. The next prime is 100511. The reversal of 100507 is 705001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 705001 = 11 ⋅64091.

It is a cyclic number.

It is not a de Polignac number, because 100507 - 2⁷ = 100379 is a prime.

It is a Duffinian number.

100507 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (100501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4558 + ... + 4579.

It is an arithmetic number, because the mean of its divisors is an integer number (27414).

2¹⁰⁰⁵⁰⁷ is an apocalyptic number.

100507 is a deficient number, since it is larger than the sum of its proper divisors (9149).

100507 is an equidigital number, since it uses as much as digits as its factorization.

100507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148.

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

The square root of 100507 is about 317.0283898959. The cubic root of 100507 is about 46.4941989911.

Adding to 100507 its reverse (705001), we get a palindrome (805508).

The spelling of 100507 in words is "one hundred thousand, five hundred seven".