105115 has 4 divisors (see below), whose sum is σ = 126144. Its totient is φ = 84088.

The previous prime is 105107. The next prime is 105137. The reversal of 105115 is 511501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 511501 = 47 ⋅10883.

It is a cyclic number.

It is not a de Polignac number, because 105115 - 2³ = 105107 is a prime.

It is a super-2 number, since 2×105115² = 22098326450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

105115 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 105095 and 105104.

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, 10507 + ... + 10516.

It is an arithmetic number, because the mean of its divisors is an integer number (31536).

2¹⁰⁵¹¹⁵ is an apocalyptic number.

105115 is a deficient number, since it is larger than the sum of its proper divisors (21029).

105115 is an equidigital number, since it uses as much as digits as its factorization.

105115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21028.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 105115 is about 324.2144352123. The cubic root of 105115 is about 47.1941568463.

Adding to 105115 its reverse (511501), we get a palindrome (616616).

The spelling of 105115 in words is "one hundred five thousand, one hundred fifteen".