105827513 has 8 divisors (see below), whose sum is σ = 115579200. Its totient is φ = 96097680.

The previous prime is 105827507. The next prime is 105827563. The reversal of 105827513 is 315728501.

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 105827513 - 2¹⁰ = 105826489 is a prime.

It is a super-2 number, since 2×105827513² = 22398925015530338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105827513.

It is not an unprimeable number, because it can be changed into a prime (105827563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5663 + ... + 15611.

It is an arithmetic number, because the mean of its divisors is an integer number (14447400).

Almost surely, 2^105827513 is an apocalyptic number.

It is an amenable number.

105827513 is a deficient number, since it is larger than the sum of its proper divisors (9751687).

105827513 is an equidigital number, since it uses as much as digits as its factorization.

105827513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105827513 is about 10287.2500212642. The cubic root of 105827513 is about 473.0055065980.

The spelling of 105827513 in words is "one hundred five million, eight hundred twenty-seven thousand, five hundred thirteen".