101065 has 16 divisors (see below), whose sum is σ = 136080. Its totient is φ = 71680.

The previous prime is 101063. The next prime is 101081. The reversal of 101065 is 560101.

It can be written as a sum of positive squares in 8 ways, for example, as 3721 + 97344 = 61^2 + 312^2 .

It is not a de Polignac number, because 101065 - 2¹ = 101063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101063) 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, 2445 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹⁰¹⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

101065 is a deficient number, since it is larger than the sum of its proper divisors (35015).

101065 is a wasteful number, since it uses less digits than its factorization.

101065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101065 is about 317.9072191694. The cubic root of 101065 is about 46.5800832201.

Adding to 101065 its reverse (560101), we get a palindrome (661166).

The spelling of 101065 in words is "one hundred one thousand, sixty-five".