101106 has 24 divisors (see below), whose sum is σ = 226044. Its totient is φ = 32640.

The previous prime is 101089. The next prime is 101107. The reversal of 101106 is 601101.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 5625 = 309^2 + 75^2 .

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101107) by changing a digit.

101106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 806.

2¹⁰¹¹⁰⁶ is an apocalyptic number.

101106 is an abundant number, since it is smaller than the sum of its proper divisors (124938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101106 is a wasteful number, since it uses less digits than its factorization.

101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

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

The square root of 101106 is about 317.9716968537. The cubic root of 101106 is about 46.5863812303.

Adding to 101106 its reverse (601101), we get a palindrome (702207).

The spelling of 101106 in words is "one hundred one thousand, one hundred six".