105840813 has 12 divisors (see below), whose sum is σ = 152812320. Its totient is φ = 65132496.

The previous prime is 105840799. The next prime is 105840817. The reversal of 105840813 is 318048501.

It is not a de Polignac number, because 105840813 - 2⁵ = 105840781 is a prime.

It is a super-2 number, since 2×105840813² = 22404555393001938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105840817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103873 + ... + 104886.

It is an arithmetic number, because the mean of its divisors is an integer number (12734360).

Almost surely, 2^105840813 is an apocalyptic number.

105840813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105840813 is a deficient number, since it is larger than the sum of its proper divisors (46971507).

105840813 is a wasteful number, since it uses less digits than its factorization.

105840813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208788 (or 208775 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 105840813 is about 10287.8964322159. The cubic root of 105840813 is about 473.0253209466.

The spelling of 105840813 in words is "one hundred five million, eight hundred forty thousand, eight hundred thirteen".