10005113 has 8 divisors (see below), whose sum is σ = 10252800. Its totient is φ = 9760608.

The previous prime is 10005091. The next prime is 10005119. The reversal of 10005113 is 31150001.

10005113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10005113 - 2¹⁸ = 9742969 is a prime.

It is a super-2 number, since 2×10005113² = 200204572285538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005094 and 10005103.

It is not an unprimeable number, because it can be changed into a prime (10005119) 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, 6320 + ... + 7742.

It is an arithmetic number, because the mean of its divisors is an integer number (1281600).

Almost surely, 2^10005113 is an apocalyptic number.

It is an amenable number.

10005113 is a deficient number, since it is larger than the sum of its proper divisors (247687).

10005113 is an equidigital number, since it uses as much as digits as its factorization.

10005113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591.

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

The square root of 10005113 is about 3163.0859931402. The cubic root of 10005113 is about 215.4801814954.

Adding to 10005113 its reverse (31150001), we get a palindrome (41155114).

The spelling of 10005113 in words is "ten million, five thousand, one hundred thirteen".