10105724 has 12 divisors (see below), whose sum is σ = 17707704. Its totient is φ = 5046384.

The previous prime is 10105709. The next prime is 10105727. The reversal of 10105724 is 42750101.

It is a junction number, because it is equal to n+sod(n) for n = 10105696 and 10105705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105727) 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 3 ways as a sum of consecutive naturals, for example, 4262 + ... + 6194.

It is an arithmetic number, because the mean of its divisors is an integer number (1475642).

Almost surely, 2^10105724 is an apocalyptic number.

It is an amenable number.

10105724 is a deficient number, since it is larger than the sum of its proper divisors (7601980).

10105724 is a wasteful number, since it uses less digits than its factorization.

10105724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 10105724 is about 3178.9501411630. The cubic root of 10105724 is about 216.2000604162.

Adding to 10105724 its reverse (42750101), we get a palindrome (52855825).

The spelling of 10105724 in words is "ten million, one hundred five thousand, seven hundred twenty-four".