105152043121 has 16 divisors (see below), whose sum is σ = 116193484800. Its totient is φ = 94770248400.

The previous prime is 105152043097. The next prime is 105152043187. The reversal of 105152043121 is 121340251501.

It is a cyclic number.

It is not a de Polignac number, because 105152043121 - 2²³ = 105143654513 is a prime.

It is a super-3 number, since 3×105152043121³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105152044121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478185 + ... + 1547686.

It is an arithmetic number, because the mean of its divisors is an integer number (7262092800).

Almost surely, 2^105152043121 is an apocalyptic number.

It is an amenable number.

105152043121 is a deficient number, since it is larger than the sum of its proper divisors (11041441679).

105152043121 is a wasteful number, since it uses less digits than its factorization.

105152043121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025980.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 105152043121 its reverse (121340251501), we get a palindrome (226492294622).

The spelling of 105152043121 in words is "one hundred five billion, one hundred fifty-two million, forty-three thousand, one hundred twenty-one".