105105984121 has 2 divisors, whose sum is σ = 105105984122. Its totient is φ = 105105984120.

The previous prime is 105105984103. The next prime is 105105984163. The reversal of 105105984121 is 121489501501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101238512400 + 3867471721 = 318180^2 + 62189^2 .

It is an emirp because it is prime and its reverse (121489501501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105105984121 - 2¹³ = 105105975929 is a prime.

It is a super-2 number, since 2×105105984121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105105981121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552992060 + 52552992061.

It is an arithmetic number, because the mean of its divisors is an integer number (52552992061).

Almost surely, 2^105105984121 is an apocalyptic number.

It is an amenable number.

105105984121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105984121 is an equidigital number, since it uses as much as digits as its factorization.

105105984121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 37.

The spelling of 105105984121 in words is "one hundred five billion, one hundred five million, nine hundred eighty-four thousand, one hundred twenty-one".