10105713 has 6 divisors (see below), whose sum is σ = 14597154. Its totient is φ = 6737136.

The previous prime is 10105709. The next prime is 10105727. The reversal of 10105713 is 31750101.

It is a happy number.

10105713 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9290304 + 815409 = 3048^2 + 903^2 .

It is not a de Polignac number, because 10105713 - 2² = 10105709 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10105793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561420 + ... + 561437.

It is an arithmetic number, because the mean of its divisors is an integer number (2432859).

Almost surely, 2^10105713 is an apocalyptic number.

It is an amenable number.

10105713 is a deficient number, since it is larger than the sum of its proper divisors (4491441).

10105713 is a wasteful number, since it uses less digits than its factorization.

10105713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122863 (or 1122860 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10105713 is about 3178.9484110315. The cubic root of 10105713 is about 216.1999819721.

Adding to 10105713 its reverse (31750101), we get a palindrome (41855814).

The spelling of 10105713 in words is "ten million, one hundred five thousand, seven hundred thirteen".