105207 has 4 divisors (see below), whose sum is σ = 140280. Its totient is φ = 70136.

The previous prime is 105199. The next prime is 105211. The reversal of 105207 is 702501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 702501 = 3 ⋅234167.

It is a cyclic number.

It is not a de Polignac number, because 105207 - 2³ = 105199 is a prime.

It is a super-2 number, since 2×105207² = 22137025698, which contains 22 as substring.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105227) 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, 17532 + ... + 17537.

It is an arithmetic number, because the mean of its divisors is an integer number (35070).

2¹⁰⁵²⁰⁷ is an apocalyptic number.

105207 is a deficient number, since it is larger than the sum of its proper divisors (35073).

105207 is an equidigital number, since it uses as much as digits as its factorization.

105207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35072.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 105207 is about 324.3562855873. The cubic root of 105207 is about 47.2079214417.

Adding to 105207 its reverse (702501), we get a palindrome (807708).

The spelling of 105207 in words is "one hundred five thousand, two hundred seven".