105884362141 has 2 divisors, whose sum is σ = 105884362142. Its totient is φ = 105884362140.

The previous prime is 105884362117. The next prime is 105884362163. The reversal of 105884362141 is 141263488501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80866296900 + 25018065241 = 284370^2 + 158171^2 .

It is a cyclic number.

It is not a de Polignac number, because 105884362141 - 2¹⁷ = 105884231069 is a prime.

It is a super-2 number, since 2×105884362141² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105884362841) 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 as a sum of consecutive naturals, namely, 52942181070 + 52942181071.

It is an arithmetic number, because the mean of its divisors is an integer number (52942181071).

Almost surely, 2^105884362141 is an apocalyptic number.

It is an amenable number.

105884362141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105884362141 is an equidigital number, since it uses as much as digits as its factorization.

105884362141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 105884362141 in words is "one hundred five billion, eight hundred eighty-four million, three hundred sixty-two thousand, one hundred forty-one".