105260379 has 48 divisors (see below), whose sum is σ = 175536288. Its totient is φ = 55738368.

The previous prime is 105260341. The next prime is 105260381. The reversal of 105260379 is 973062501.

It is not a de Polignac number, because 105260379 - 2⁸ = 105260123 is a prime.

It is a super-2 number, since 2×105260379² = 22159494774447282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105260339) 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 47 ways as a sum of consecutive naturals, for example, 182139 + ... + 182715.

It is an arithmetic number, because the mean of its divisors is an integer number (3657006).

Almost surely, 2^105260379 is an apocalyptic number.

105260379 is a deficient number, since it is larger than the sum of its proper divisors (70275909).

105260379 is a wasteful number, since it uses less digits than its factorization.

105260379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 105260379 is about 10259.6480933802. The cubic root of 105260379 is about 472.1590407147.

The spelling of 105260379 in words is "one hundred five million, two hundred sixty thousand, three hundred seventy-nine".