101011105 has 16 divisors (see below), whose sum is σ = 130846464. Its totient is φ = 74416320.

The previous prime is 101011091. The next prime is 101011109. The reversal of 101011105 is 501110101.

It is not a de Polignac number, because 101011105 - 2⁷ = 101010977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011091 and 101011100.

It is not an unprimeable number, because it can be changed into a prime (101011109) 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 15 ways as a sum of consecutive naturals, for example, 30060 + ... + 33250.

It is an arithmetic number, because the mean of its divisors is an integer number (8177904).

Almost surely, 2^101011105 is an apocalyptic number.

It is an amenable number.

101011105 is a deficient number, since it is larger than the sum of its proper divisors (29835359).

101011105 is a wasteful number, since it uses less digits than its factorization.

101011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696.

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

The square root of 101011105 is about 10050.4281003348. The cubic root of 101011105 is about 465.7180181716.

Adding to 101011105 its reverse (501110101), we get a palindrome (602121206).

The spelling of 101011105 in words is "one hundred one million, eleven thousand, one hundred five".