105005613 has 8 divisors (see below), whose sum is σ = 143263648. Its totient is φ = 68375664.

The previous prime is 105005611. The next prime is 105005623. The reversal of 105005613 is 316500501.

It is a happy number.

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

It is not a de Polignac number, because 105005613 - 2¹ = 105005611 is a prime.

It is a super-2 number, since 2×105005613² = 22052357523011538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105005613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005611) 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, 406870 + ... + 407127.

It is an arithmetic number, because the mean of its divisors is an integer number (17907956).

Almost surely, 2^105005613 is an apocalyptic number.

It is an amenable number.

105005613 is a deficient number, since it is larger than the sum of its proper divisors (38258035).

105005613 is an equidigital number, since it uses as much as digits as its factorization.

105005613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814043.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105005613 is about 10247.2246486549. The cubic root of 105005613 is about 471.7778043632. Note that the first 3 decimals are identical.

The spelling of 105005613 in words is "one hundred five million, five thousand, six hundred thirteen".