10105613 has 6 divisors (see below), whose sum is σ = 11755566. Its totient is φ = 8661912.

The previous prime is 10105607. The next prime is 10105621. The reversal of 10105613 is 31650101.

It can be written as a sum of positive squares in only one way, i.e., 10099684 + 5929 = 3178^2 + 77^2 .

It is not a de Polignac number, because 10105613 - 2²² = 5911309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10105591 and 10105600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103070 + ... + 103167.

It is an arithmetic number, because the mean of its divisors is an integer number (1959261).

Almost surely, 2^10105613 is an apocalyptic number.

It is an amenable number.

10105613 is a deficient number, since it is larger than the sum of its proper divisors (1649953).

10105613 is an equidigital number, since it uses as much as digits as its factorization.

10105613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206251 (or 206244 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10105613 is about 3178.9326825210. The cubic root of 10105613 is about 216.1992688419.

Adding to 10105613 its reverse (31650101), we get a palindrome (41755714).

The spelling of 10105613 in words is "ten million, one hundred five thousand, six hundred thirteen".