101505 has 16 divisors (see below), whose sum is σ = 166464. Its totient is φ = 52800.

The previous prime is 101503. The next prime is 101513. The reversal of 101505 is 505101.

101505 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 101505 - 2¹ = 101503 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (10404).

2¹⁰¹⁵⁰⁵ is an apocalyptic number.

101505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101505 is a deficient number, since it is larger than the sum of its proper divisors (64959).

101505 is a wasteful number, since it uses less digits than its factorization.

101505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 101505 is about 318.5984934051. The cubic root of 101505 is about 46.6475828999.

Adding to 101505 its reverse (505101), we get a palindrome (606606).

It can be divided in two parts, 101 and 505, that added together give a palindrome (606).

The spelling of 101505 in words is "one hundred one thousand, five hundred five".