105827353 has 2 divisors, whose sum is σ = 105827354. Its totient is φ = 105827352.

The previous prime is 105827339. The next prime is 105827357. The reversal of 105827353 is 353728501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95413824 + 10413529 = 9768^2 + 3227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105827353 is a prime.

It is a super-2 number, since 2×105827353² = 22398857285973218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105827357) 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, 52913676 + 52913677.

It is an arithmetic number, because the mean of its divisors is an integer number (52913677).

Almost surely, 2^105827353 is an apocalyptic number.

It is an amenable number.

105827353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105827353 is an equidigital number, since it uses as much as digits as its factorization.

105827353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 105827353 is about 10287.2422446446. The cubic root of 105827353 is about 473.0052682198.

The spelling of 105827353 in words is "one hundred five million, eight hundred twenty-seven thousand, three hundred fifty-three".