105133541 has 2 divisors, whose sum is σ = 105133542. Its totient is φ = 105133540.

The previous prime is 105133513. The next prime is 105133543. The reversal of 105133541 is 145331501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100600900 + 4532641 = 10030^2 + 2129^2 .

It is a cyclic number.

It is not a de Polignac number, because 105133541 - 2⁶ = 105133477 is a prime.

It is a super-2 number, since 2×105133541² = 22106122886397362, which contains 22 as substring.

Together with 105133543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105133543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52566770 + 52566771.

It is an arithmetic number, because the mean of its divisors is an integer number (52566771).

Almost surely, 2^105133541 is an apocalyptic number.

It is an amenable number.

105133541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105133541 is an equidigital number, since it uses as much as digits as its factorization.

105133541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105133541 is about 10253.4648290224. The cubic root of 105133541 is about 471.9693150717.

The spelling of 105133541 in words is "one hundred five million, one hundred thirty-three thousand, five hundred forty-one".