10105824 has 24 divisors (see below), whose sum is σ = 26528040. Its totient is φ = 3368576.

The previous prime is 10105819. The next prime is 10105841. The reversal of 10105824 is 42850101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10105824.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52539 + ... + 52730.

It is an arithmetic number, because the mean of its divisors is an integer number (1105335).

Almost surely, 2^10105824 is an apocalyptic number.

It is an amenable number.

10105824 is an abundant number, since it is smaller than the sum of its proper divisors (16422216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105824 is a wasteful number, since it uses less digits than its factorization.

10105824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105282 (or 105274 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10105824 is about 3178.9658695872. The cubic root of 10105824 is about 216.2007735412.

Adding to 10105824 its reverse (42850101), we get a palindrome (52955925).

The spelling of 10105824 in words is "ten million, one hundred five thousand, eight hundred twenty-four".