101101105 has 16 divisors (see below), whose sum is σ = 143435520. Its totient is φ = 66935232.

The previous prime is 101101103. The next prime is 101101111. The reversal of 101101105 is 501101101.

It is not a de Polignac number, because 101101105 - 2¹ = 101101103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101091 and 101101100.

It is not an unprimeable number, because it can be changed into a prime (101101103) 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, 48789 + ... + 50818.

It is an arithmetic number, because the mean of its divisors is an integer number (8964720).

Almost surely, 2^101101105 is an apocalyptic number.

It is an amenable number.

101101105 is a deficient number, since it is larger than the sum of its proper divisors (42334415).

101101105 is an equidigital number, since it uses as much as digits as its factorization.

101101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99648.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 101101105 is about 10054.9045246586. The cubic root of 101101105 is about 465.8562939888.

Adding to 101101105 its reverse (501101101), we get a palindrome (602202206).

The spelling of 101101105 in words is "one hundred one million, one hundred one thousand, one hundred five".