105253116541 has 2 divisors, whose sum is σ = 105253116542. Its totient is φ = 105253116540.

The previous prime is 105253116539. The next prime is 105253116569. The reversal of 105253116541 is 145611352501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63791604900 + 41461511641 = 252570^2 + 203621^2 .

It is a cyclic number.

It is not a de Polignac number, because 105253116541 - 2¹ = 105253116539 is a prime.

It is a super-2 number, since 2×105253116541² (a number of 23 digits) contains 22 as substring.

Together with 105253116539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105253116497 and 105253116506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105253113541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52626558270 + 52626558271.

It is an arithmetic number, because the mean of its divisors is an integer number (52626558271).

Almost surely, 2^105253116541 is an apocalyptic number.

It is an amenable number.

105253116541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105253116541 is an equidigital number, since it uses as much as digits as its factorization.

105253116541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 105253116541 in words is "one hundred five billion, two hundred fifty-three million, one hundred sixteen thousand, five hundred forty-one".