101105 has 8 divisors (see below), whose sum is σ = 123432. Its totient is φ = 79488.

The previous prime is 101089. The next prime is 101107. The reversal of 101105 is 501101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 97969 = 56^2 + 313^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101105 - 2⁴ = 101089 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 101092 and 101101.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (15429).

2¹⁰¹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

101105 is a deficient number, since it is larger than the sum of its proper divisors (22327).

101105 is an equidigital number, since it uses as much as digits as its factorization.

101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 101105 is about 317.9701243828. The cubic root of 101105 is about 46.5862276406.

Adding to 101105 its reverse (501101), we get a palindrome (602206).

The spelling of 101105 in words is "one hundred one thousand, one hundred five".