105106006101 has 8 divisors (see below), whose sum is σ = 140192667424. Its totient is φ = 70045007760.

The previous prime is 105106006087. The next prime is 105106006163. The reversal of 105106006101 is 101600601501.

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

It is not a de Polignac number, because 105106006101 - 2³⁰ = 104032264277 is a prime.

It is a super-2 number, since 2×105106006101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105106006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6406186 + ... + 6422571.

It is an arithmetic number, because the mean of its divisors is an integer number (17524083428).

Almost surely, 2^105106006101 is an apocalyptic number.

It is an amenable number.

105106006101 is a deficient number, since it is larger than the sum of its proper divisors (35086661323).

105106006101 is a wasteful number, since it uses less digits than its factorization.

105106006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831491.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 105106006101 its reverse (101600601501), we get a palindrome (206706607602).

The spelling of 105106006101 in words is "one hundred five billion, one hundred six million, six thousand, one hundred one".