105047557 has 2 divisors, whose sum is σ = 105047558. Its totient is φ = 105047556.

The previous prime is 105047543. The next prime is 105047563. The reversal of 105047557 is 755740501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58997761 + 46049796 = 7681^2 + 6786^2 .

It is an emirp because it is prime and its reverse (755740501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105047557 is a prime.

It is a super-2 number, since 2×105047557² = 22069978463336498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105047507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52523778 + 52523779.

It is an arithmetic number, because the mean of its divisors is an integer number (52523779).

Almost surely, 2^105047557 is an apocalyptic number.

It is an amenable number.

105047557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105047557 is an equidigital number, since it uses as much as digits as its factorization.

105047557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24500, while the sum is 34.

The square root of 105047557 is about 10249.2710472501. The cubic root of 105047557 is about 471.8406124788.

The spelling of 105047557 in words is "one hundred five million, forty-seven thousand, five hundred fifty-seven".