105385379 has 8 divisors (see below), whose sum is σ = 119964672. Its totient is φ = 91639240.

The previous prime is 105385373. The next prime is 105385403. The reversal of 105385379 is 973583501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105385379 - 2⁸ = 105385123 is a prime.

It is a super-2 number, since 2×105385379² = 22212156213947282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105385373) 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 in 7 ways as a sum of consecutive naturals, for example, 208019 + ... + 208524.

It is an arithmetic number, because the mean of its divisors is an integer number (14995584).

Almost surely, 2^105385379 is an apocalyptic number.

105385379 is a deficient number, since it is larger than the sum of its proper divisors (14579293).

105385379 is a wasteful number, since it uses less digits than its factorization.

105385379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416577.

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 105385379 is about 10265.7381127710. The cubic root of 105385379 is about 472.3458680008.

The spelling of 105385379 in words is "one hundred five million, three hundred eighty-five thousand, three hundred seventy-nine".