105845353 has 2 divisors, whose sum is σ = 105845354. Its totient is φ = 105845352.

The previous prime is 105845347. The next prime is 105845359. The reversal of 105845353 is 353548501.

It is a balanced prime because it is at equal distance from previous prime (105845347) and next prime (105845359).

It can be written as a sum of positive squares in only one way, i.e., 71774784 + 34070569 = 8472^2 + 5837^2 .

It is a cyclic number.

It is not a de Polignac number, because 105845353 - 2⁵ = 105845321 is a prime.

It is a super-2 number, since 2×105845353² = 22406477503389218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105845359) 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, 52922676 + 52922677.

It is an arithmetic number, because the mean of its divisors is an integer number (52922677).

Almost surely, 2^105845353 is an apocalyptic number.

It is an amenable number.

105845353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105845353 is an equidigital number, since it uses as much as digits as its factorization.

105845353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 105845353 is about 10288.1170774831. The cubic root of 105845353 is about 473.0320842615.

The spelling of 105845353 in words is "one hundred five million, eight hundred forty-five thousand, three hundred fifty-three".