105138579 has 32 divisors (see below), whose sum is σ = 173182464. Its totient is φ = 55249920.

The previous prime is 105138541. The next prime is 105138581. The reversal of 105138579 is 975831501.

It is not a de Polignac number, because 105138579 - 2⁹ = 105138067 is a prime.

It is a super-2 number, since 2×105138579² = 22108241588278482, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (105138529) 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 31 ways as a sum of consecutive naturals, for example, 95824 + ... + 96914.

It is an arithmetic number, because the mean of its divisors is an integer number (5411952).

Almost surely, 2^105138579 is an apocalyptic number.

105138579 is a deficient number, since it is larger than the sum of its proper divisors (68043885).

105138579 is a wasteful number, since it uses less digits than its factorization.

105138579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its (nonzero) digits is 37800, while the sum is 39.

The square root of 105138579 is about 10253.7104991315. The cubic root of 105138579 is about 471.9768538755.

The spelling of 105138579 in words is "one hundred five million, one hundred thirty-eight thousand, five hundred seventy-nine".