105123511221 has 8 divisors (see below), whose sum is σ = 140166710880. Its totient is φ = 70081326192.

The previous prime is 105123511219. The next prime is 105123511261. The reversal of 105123511221 is 122115321501.

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

It is not a de Polignac number, because 105123511221 - 2¹ = 105123511219 is a prime.

It is a super-3 number, since 3×105123511221³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105123511191 and 105123511200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123511261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35035 + ... + 459863.

It is an arithmetic number, because the mean of its divisors is an integer number (17520838860).

Almost surely, 2^105123511221 is an apocalyptic number.

It is an amenable number.

105123511221 is a deficient number, since it is larger than the sum of its proper divisors (35043199659).

105123511221 is an equidigital number, since it uses as much as digits as its factorization.

105123511221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507315.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 105123511221 its reverse (122115321501), we get a palindrome (227238832722).

The spelling of 105123511221 in words is "one hundred five billion, one hundred twenty-three million, five hundred eleven thousand, two hundred twenty-one".