105105121 has 8 divisors (see below), whose sum is σ = 114930144. Its totient is φ = 95325120.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105121 is 121501501.

105105121 = T₄₃₆₆ + T₄₃₆₇ + ... + T₄₃₇₆.

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

It is not a de Polignac number, because 105105121 - 2⁹ = 105104609 is a prime.

It is a super-2 number, since 2×105105121² = 22094172920849282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105105095 and 105105104.

It is not an unprimeable number, because it can be changed into a prime (105105821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6271 + ... + 15796.

It is an arithmetic number, because the mean of its divisors is an integer number (14366268).

Almost surely, 2^105105121 is an apocalyptic number.

105105121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105105121 is a deficient number, since it is larger than the sum of its proper divisors (9825023).

105105121 is a wasteful number, since it uses less digits than its factorization.

105105121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22511.

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 105105121 is about 10252.0788623576. The cubic root of 105105121 is about 471.9267832065.

Adding to 105105121 its reverse (121501501), we get a palindrome (226606622).

The spelling of 105105121 in words is "one hundred five million, one hundred five thousand, one hundred twenty-one".