105285379 has 2 divisors, whose sum is σ = 105285380. Its totient is φ = 105285378.

The previous prime is 105285373. The next prime is 105285409. The reversal of 105285379 is 973582501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105285379 - 2¹⁵ = 105252611 is a prime.

It is a super-2 number, since 2×105285379² = 22170022062347282, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (105285373) 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, 52642689 + 52642690.

It is an arithmetic number, because the mean of its divisors is an integer number (52642690).

Almost surely, 2^105285379 is an apocalyptic number.

105285379 is a deficient number, since it is larger than the sum of its proper divisors (1).

105285379 is an equidigital number, since it uses as much as digits as its factorization.

105285379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 105285379 is about 10260.8663864218. The cubic root of 105285379 is about 472.1964179999.

The spelling of 105285379 in words is "one hundred five million, two hundred eighty-five thousand, three hundred seventy-nine".