105828913 has 8 divisors (see below), whose sum is σ = 110718720. Its totient is φ = 101049120.

The previous prime is 105828881. The next prime is 105828923. The reversal of 105828913 is 319828501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105828913 - 2⁵ = 105828881 is a prime.

It is a super-3 number, since 3×105828913³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105828923) 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 7 ways as a sum of consecutive naturals, for example, 25533 + ... + 29386.

It is an arithmetic number, because the mean of its divisors is an integer number (13839840).

Almost surely, 2^105828913 is an apocalyptic number.

It is an amenable number.

105828913 is a deficient number, since it is larger than the sum of its proper divisors (4889807).

105828913 is an equidigital number, since it uses as much as digits as its factorization.

105828913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55007.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 105828913 is about 10287.3180664350. The cubic root of 105828913 is about 473.0075923971.

The spelling of 105828913 in words is "one hundred five million, eight hundred twenty-eight thousand, nine hundred thirteen".