106105111001 has 8 divisors (see below), whose sum is σ = 106279394760. Its totient is φ = 105930945792.

The previous prime is 106105110971. The next prime is 106105111069. The reversal of 106105111001 is 100111501601.

It can be written as a sum of positive squares in 4 ways, for example, as 32500878400 + 73604232601 = 180280^2 + 271301^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106105111001 is a prime.

It is a super-2 number, since 2×106105111001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106105311001) 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, 1859585 + ... + 1915793.

It is an arithmetic number, because the mean of its divisors is an integer number (13284924345).

Almost surely, 2^106105111001 is an apocalyptic number.

It is an amenable number.

106105111001 is a deficient number, since it is larger than the sum of its proper divisors (174283759).

106105111001 is an equidigital number, since it uses as much as digits as its factorization.

106105111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59275.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 106105111001 its reverse (100111501601), we get a palindrome (206216612602).

The spelling of 106105111001 in words is "one hundred six billion, one hundred five million, one hundred eleven thousand, one".