105121013 has 4 divisors (see below), whose sum is σ = 111304620. Its totient is φ = 98937408.

The previous prime is 105120997. The next prime is 105121019. The reversal of 105121013 is 310121501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310121501 = 569 ⋅545029.

It can be written as a sum of positive squares in 2 ways, for example, as 53611684 + 51509329 = 7322^2 + 7177^2 .

It is a cyclic number.

It is not a de Polignac number, because 105121013 - 2⁴ = 105120997 is a prime.

It is a super-2 number, since 2×105121013² = 22100854748292338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3091778 + ... + 3091811.

It is an arithmetic number, because the mean of its divisors is an integer number (27826155).

Almost surely, 2^105121013 is an apocalyptic number.

It is an amenable number.

105121013 is a deficient number, since it is larger than the sum of its proper divisors (6183607).

105121013 is an equidigital number, since it uses as much as digits as its factorization.

105121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183606.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 105121013 is about 10252.8538953796. The cubic root of 105121013 is about 471.9505672759.

Adding to 105121013 its reverse (310121501), we get a palindrome (415242514).

The spelling of 105121013 in words is "one hundred five million, one hundred twenty-one thousand, thirteen".