105306541 has 2 divisors, whose sum is σ = 105306542. Its totient is φ = 105306540.

The previous prime is 105306533. The next prime is 105306583. The reversal of 105306541 is 145603501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100701225 + 4605316 = 10035^2 + 2146^2 .

It is a cyclic number.

It is not a de Polignac number, because 105306541 - 2³ = 105306533 is a prime.

It is a super-2 number, since 2×105306541² = 22178935154769362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105306841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52653270 + 52653271.

It is an arithmetic number, because the mean of its divisors is an integer number (52653271).

Almost surely, 2^105306541 is an apocalyptic number.

It is an amenable number.

105306541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105306541 is an equidigital number, since it uses as much as digits as its factorization.

105306541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105306541 is about 10261.8975340821. The cubic root of 105306541 is about 472.2280525006.

It can be divided in two parts, 10530 and 6541, that added together give a palindrome (17071).

The spelling of 105306541 in words is "one hundred five million, three hundred six thousand, five hundred forty-one".