105110601121 has 16 divisors (see below), whose sum is σ = 106633254528. Its totient is φ = 103598352000.

The previous prime is 105110601103. The next prime is 105110601139. The reversal of 105110601121 is 121106011501.

It is an interprime number because it is at equal distance from previous prime (105110601103) and next prime (105110601139).

It is a cyclic number.

It is not a de Polignac number, because 105110601121 - 2³⁵ = 70750862753 is a prime.

It is a super-2 number, since 2×105110601121² (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 (105110601161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29935756 + ... + 29939266.

It is an arithmetic number, because the mean of its divisors is an integer number (6664578408).

Almost surely, 2^105110601121 is an apocalyptic number.

It is an amenable number.

105110601121 is a deficient number, since it is larger than the sum of its proper divisors (1522653407).

105110601121 is a wasteful number, since it uses less digits than its factorization.

105110601121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 105110601121 its reverse (121106011501), we get a palindrome (226216612622).

The spelling of 105110601121 in words is "one hundred five billion, one hundred ten million, six hundred one thousand, one hundred twenty-one".