105047101 has 2 divisors, whose sum is σ = 105047102. Its totient is φ = 105047100.

The previous prime is 105047057. The next prime is 105047119. The reversal of 105047101 is 101740501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103002201 + 2044900 = 10149^2 + 1430^2 .

It is an emirp because it is prime and its reverse (101740501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105047101 - 2¹³ = 105038909 is a prime.

It is a super-2 number, since 2×105047101² = 22069786857008402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105047191) 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, 52523550 + 52523551.

It is an arithmetic number, because the mean of its divisors is an integer number (52523551).

Almost surely, 2^105047101 is an apocalyptic number.

It is an amenable number.

105047101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105047101 is an equidigital number, since it uses as much as digits as its factorization.

105047101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105047101 is about 10249.2488017415. The cubic root of 105047101 is about 471.8399297416.

Adding to 105047101 its reverse (101740501), we get a palindrome (206787602).

The spelling of 105047101 in words is "one hundred five million, forty-seven thousand, one hundred one".