105833981 has 6 divisors (see below), whose sum is σ = 116330046. Its totient is φ = 96212600.

The previous prime is 105833957. The next prime is 105833999. The reversal of 105833981 is 189338501.

It can be written as a sum of positive squares in only one way, i.e., 83356900 + 22477081 = 9130^2 + 4741^2 .

It is not a de Polignac number, because 105833981 - 2¹⁰ = 105832957 is a prime.

It is a super-2 number, since 2×105833981² = 22401663068616722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105833911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437210 + ... + 437451.

It is an arithmetic number, because the mean of its divisors is an integer number (19388341).

Almost surely, 2^105833981 is an apocalyptic number.

105833981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105833981 is a deficient number, since it is larger than the sum of its proper divisors (10496065).

105833981 is an equidigital number, since it uses as much as digits as its factorization.

105833981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874683 (or 874672 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 105833981 is about 10287.5643861898. The cubic root of 105833981 is about 473.0151428359.

The spelling of 105833981 in words is "one hundred five million, eight hundred thirty-three thousand, nine hundred eighty-one".