105831349 has 24 divisors (see below), whose sum is σ = 125962560. Its totient is φ = 88463232.

The previous prime is 105831347. The next prime is 105831361. The reversal of 105831349 is 943138501.

It is not a de Polignac number, because 105831349 - 2¹ = 105831347 is a prime.

It is a super-2 number, since 2×105831349² = 22400548862319602, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105831343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73137 + ... + 74569.

It is an arithmetic number, because the mean of its divisors is an integer number (5248440).

Almost surely, 2^105831349 is an apocalyptic number.

105831349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105831349 is a deficient number, since it is larger than the sum of its proper divisors (20131211).

105831349 is a wasteful number, since it uses less digits than its factorization.

105831349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 105831349 is about 10287.4364639593. The cubic root of 105831349 is about 473.0112216436.

The spelling of 105831349 in words is "one hundred five million, eight hundred thirty-one thousand, three hundred forty-nine".