105983379 has 12 divisors (see below), whose sum is σ = 159743376. Its totient is φ = 67583472.

The previous prime is 105983369. The next prime is 105983407. The reversal of 105983379 is 973389501.

It is a happy number.

It is not a de Polignac number, because 105983379 - 2⁸ = 105983123 is a prime.

It is a super-2 number, since 2×105983379² = 22464953248515282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105983309) 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 in 11 ways as a sum of consecutive naturals, for example, 255792 + ... + 256205.

It is an arithmetic number, because the mean of its divisors is an integer number (13311948).

Almost surely, 2^105983379 is an apocalyptic number.

105983379 is a deficient number, since it is larger than the sum of its proper divisors (53759997).

105983379 is a wasteful number, since it uses less digits than its factorization.

105983379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512026 (or 512023 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 105983379 is about 10294.8229222265. The cubic root of 105983379 is about 473.2376116802.

The spelling of 105983379 in words is "one hundred five million, nine hundred eighty-three thousand, three hundred seventy-nine".