105056106111001 has 8 divisors (see below), whose sum is σ = 105464248088264. Its totient is φ = 104648534565120.

The previous prime is 105056106110987. The next prime is 105056106111101. The reversal of 105056106111001 is 100111601650501.

It can be written as a sum of positive squares in 4 ways, for example, as 34051484683225 + 71004621427776 = 5835365^2 + 8426424^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105056106111001 - 2⁹ = 105056106110489 is a prime.

It is a super-2 number, since 2×105056106111001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105056106111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142238790 + ... + 142975471.

It is an arithmetic number, because the mean of its divisors is an integer number (13183031011033).

Almost surely, 2^{105056106111001} is an apocalyptic number.

It is an amenable number.

105056106111001 is a deficient number, since it is larger than the sum of its proper divisors (408141977263).

105056106111001 is a wasteful number, since it uses less digits than its factorization.

105056106111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285215691.

The product of its (nonzero) digits is 900, while the sum is 28.

Adding to 105056106111001 its reverse (100111601650501), we get a palindrome (205167707761502).

The spelling of 105056106111001 in words is "one hundred five trillion, fifty-six billion, one hundred six million, one hundred eleven thousand, one".