105563737 has 2 divisors, whose sum is σ = 105563738. Its totient is φ = 105563736.

The previous prime is 105563597. The next prime is 105563749. The reversal of 105563737 is 737365501.

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., 80353296 + 25210441 = 8964^2 + 5021^2 .

It is an emirp because it is prime and its reverse (737365501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105563737 - 2¹⁹ = 105039449 is a prime.

It is a super-2 number, since 2×105563737² = 22287405138810338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105563696 and 105563705.

It is not a weakly prime, because it can be changed into another prime (105563137) 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, 52781868 + 52781869.

It is an arithmetic number, because the mean of its divisors is an integer number (52781869).

Almost surely, 2^105563737 is an apocalyptic number.

It is an amenable number.

105563737 is a deficient number, since it is larger than the sum of its proper divisors (1).

105563737 is an equidigital number, since it uses as much as digits as its factorization.

105563737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 105563737 is about 10274.4214922301. The cubic root of 105563737 is about 472.6121895165.

The spelling of 105563737 in words is "one hundred five million, five hundred sixty-three thousand, seven hundred thirty-seven".