105138591 has 32 divisors (see below), whose sum is σ = 153171648. Its totient is φ = 63897600.

The previous prime is 105138581. The next prime is 105138617. The reversal of 105138591 is 195831501.

It is not a de Polignac number, because 105138591 - 2¹⁰ = 105137567 is a prime.

It is a super-2 number, since 2×105138591² = 22108246634930562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105138511) 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 31 ways as a sum of consecutive naturals, for example, 261991 + ... + 262391.

It is an arithmetic number, because the mean of its divisors is an integer number (4786614).

Almost surely, 2^105138591 is an apocalyptic number.

105138591 is a deficient number, since it is larger than the sum of its proper divisors (48033057).

105138591 is a wasteful number, since it uses less digits than its factorization.

105138591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 5400, while the sum is 33.

The square root of 105138591 is about 10253.7110842855. The cubic root of 105138591 is about 471.9768718319.

The spelling of 105138591 in words is "one hundred five million, one hundred thirty-eight thousand, five hundred ninety-one".