106110000111001 has 8 divisors (see below), whose sum is σ = 111568456873800. Its totient is φ = 100771509431040.

The previous prime is 106110000110941. The next prime is 106110000111013. The reversal of 106110000111001 is 100111000011601.

It can be written as a sum of positive squares in 4 ways, for example, as 9177409771776 + 96932590339225 = 3029424^2 + 9845435^2 .

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 106110000111001 - 2⁹ = 106110000110489 is a prime.

It is a super-2 number, since 2×106110000111001² (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 (106110000117001) 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, 29991518896 + ... + 29991522433.

It is an arithmetic number, because the mean of its divisors is an integer number (13946057109225).

Almost surely, 2^{106110000111001} is an apocalyptic number.

It is an amenable number.

106110000111001 is a deficient number, since it is larger than the sum of its proper divisors (5458456762799).

106110000111001 is an equidigital number, since it uses as much as digits as its factorization.

106110000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983041419.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 106110000111001 its reverse (100111000011601), we get a palindrome (206221000122602).

The spelling of 106110000111001 in words is "one hundred six trillion, one hundred ten billion, one hundred eleven thousand, one".