105136841429 has 2 divisors, whose sum is σ = 105136841430. Its totient is φ = 105136841428.

The previous prime is 105136841351. The next prime is 105136841441. The reversal of 105136841429 is 924148631501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100934560804 + 4202280625 = 317702^2 + 64825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105136841429 is a prime.

It is a super-2 number, since 2×105136841429² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105136841429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105136841129) 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, 52568420714 + 52568420715.

It is an arithmetic number, because the mean of its divisors is an integer number (52568420715).

Almost surely, 2^105136841429 is an apocalyptic number.

It is an amenable number.

105136841429 is a deficient number, since it is larger than the sum of its proper divisors (1).

105136841429 is an equidigital number, since it uses as much as digits as its factorization.

105136841429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 105136841429 in words is "one hundred five billion, one hundred thirty-six million, eight hundred forty-one thousand, four hundred twenty-nine".