105101105 has 8 divisors (see below), whose sum is σ = 127370664. Its totient is φ = 83248000.

The previous prime is 105101083. The next prime is 105101107. The reversal of 105101105 is 501101501.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 92025649 = 3616^2 + 9593^2 .

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

It is not a de Polignac number, because 105101105 - 2⁶ = 105101041 is a prime.

It is a super-2 number, since 2×105101105² = 22092484544442050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105101105.

It is not an unprimeable number, because it can be changed into a prime (105101107) 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, 103556 + ... + 104565.

It is an arithmetic number, because the mean of its divisors is an integer number (15921333).

Almost surely, 2^105101105 is an apocalyptic number.

It is an amenable number.

105101105 is a deficient number, since it is larger than the sum of its proper divisors (22269559).

105101105 is a wasteful number, since it uses less digits than its factorization.

105101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208227.

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 105101105 is about 10251.8829977717. The cubic root of 105101105 is about 471.9207724556.

Adding to 105101105 its reverse (501101501), we get a palindrome (606202606).

The spelling of 105101105 in words is "one hundred five million, one hundred one thousand, one hundred five".