115101 has 30 divisors (see below), whose sum is σ = 206910. Its totient is φ = 63504.

The previous prime is 115099. The next prime is 115117. The reversal of 115101 is 101511.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 15876 = 315^2 + 126^2 .

It is not a de Polignac number, because 115101 - 2¹ = 115099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115151) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3955 + ... + 3983.

It is an arithmetic number, because the mean of its divisors is an integer number (6897).

2¹¹⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

115101 is a deficient number, since it is larger than the sum of its proper divisors (91809).

115101 is an equidigital number, since it uses as much as digits as its factorization.

115101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 115101 is about 339.2653828495. The cubic root of 115101 is about 48.6436735903.

Adding to 115101 its reverse (101511), we get a palindrome (216612).

It can be divided in two parts, 11510 and 1, that added together give a palindrome (11511).

The spelling of 115101 in words is "one hundred fifteen thousand, one hundred one".