105735473 has 2 divisors, whose sum is σ = 105735474. Its totient is φ = 105735472.

The previous prime is 105735457. The next prime is 105735481. The reversal of 105735473 is 374537501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90859024 + 14876449 = 9532^2 + 3857^2 .

It is a cyclic number.

It is not a de Polignac number, because 105735473 - 2⁴ = 105735457 is a prime.

It is a super-2 number, since 2×105735473² = 22359980501067458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105735403) 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, 52867736 + 52867737.

It is an arithmetic number, because the mean of its divisors is an integer number (52867737).

Almost surely, 2^105735473 is an apocalyptic number.

It is an amenable number.

105735473 is a deficient number, since it is larger than the sum of its proper divisors (1).

105735473 is an equidigital number, since it uses as much as digits as its factorization.

105735473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 105735473 is about 10282.7755494322. The cubic root of 105735473 is about 472.8683398289.

The spelling of 105735473 in words is "one hundred five million, seven hundred thirty-five thousand, four hundred seventy-three".