106101 has 6 divisors (see below), whose sum is σ = 153270. Its totient is φ = 70728.

The previous prime is 106087. The next prime is 106103. The reversal of 106101 is 101601.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 44100 = 249^2 + 210^2 .

It is not a de Polignac number, because 106101 - 2¹¹ = 104053 is a prime.

It is a super-2 number, since 2×106101² = 22514844402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11789 = 106101 / (1 + 0 + 6 + 1 + 0 + 1).

It is a Curzon number.

106101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5886 + ... + 5903.

It is an arithmetic number, because the mean of its divisors is an integer number (25545).

2¹⁰⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

106101 is a deficient number, since it is larger than the sum of its proper divisors (47169).

106101 is a wasteful number, since it uses less digits than its factorization.

106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 106101 is about 325.7314845083. The cubic root of 106101 is about 47.3412614285.

Adding to 106101 its reverse (101601), we get a palindrome (207702).

The spelling of 106101 in words is "one hundred six thousand, one hundred one".