10153824 has 24 divisors (see below), whose sum is σ = 26654040. Its totient is φ = 3384576.

The previous prime is 10153823. The next prime is 10153831. The reversal of 10153824 is 42835101.

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

It is a super-3 number, since 3×10153824³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10153794 and 10153803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153823) 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, 52789 + ... + 52980.

It is an arithmetic number, because the mean of its divisors is an integer number (1110585).

Almost surely, 2^10153824 is an apocalyptic number.

It is an amenable number.

10153824 is an abundant number, since it is smaller than the sum of its proper divisors (16500216).

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

10153824 is a wasteful number, since it uses less digits than its factorization.

10153824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105782 (or 105774 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10153824 is about 3186.5065510681. The cubic root of 10153824 is about 216.5425319174.

Adding to 10153824 its reverse (42835101), we get a palindrome (52988925).

The spelling of 10153824 in words is "ten million, one hundred fifty-three thousand, eight hundred twenty-four".