105106110001 has 4 divisors (see below), whose sum is σ = 111288822372. Its totient is φ = 98923397632.

The previous prime is 105106109929. The next prime is 105106110017. The reversal of 105106110001 is 100011601501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75322253601 + 29783856400 = 274449^2 + 172580^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106110001 - 2¹³ = 105106101809 is a prime.

It is a super-3 number, since 3×105106110001³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105106110061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3091356160 + ... + 3091356193.

It is an arithmetic number, because the mean of its divisors is an integer number (27822205593).

Almost surely, 2^105106110001 is an apocalyptic number.

It is an amenable number.

105106110001 is a deficient number, since it is larger than the sum of its proper divisors (6182712371).

105106110001 is an equidigital number, since it uses as much as digits as its factorization.

105106110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182712370.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105106110001 its reverse (100011601501), we get a palindrome (205117711502).

The spelling of 105106110001 in words is "one hundred five billion, one hundred six million, one hundred ten thousand, one".