105010013 has 8 divisors (see below), whose sum is σ = 107308800. Its totient is φ = 102723088.

The previous prime is 105009997. The next prime is 105010027. The reversal of 105010013 is 310010501.

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 105010013 - 2⁴ = 105009997 is a prime.

It is a super-2 number, since 2×105010013² = 22054205660520338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105009976 and 105010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010613) 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, 16268 + ... + 21786.

It is an arithmetic number, because the mean of its divisors is an integer number (13413600).

Almost surely, 2^105010013 is an apocalyptic number.

It is an amenable number.

105010013 is a deficient number, since it is larger than the sum of its proper divisors (2298787).

105010013 is an equidigital number, since it uses as much as digits as its factorization.

105010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 105010013 is about 10247.4393386836. The cubic root of 105010013 is about 471.7843938311.

Adding to 105010013 its reverse (310010501), we get a palindrome (415020514).

The spelling of 105010013 in words is "one hundred five million, ten thousand, thirteen".