10108824 has 72 divisors (see below), whose sum is σ = 28257180. Its totient is φ = 3011360.

The previous prime is 10108823. The next prime is 10108831. The reversal of 10108824 is 42880101.

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 = 10108794 and 10108803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108823) 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 17 ways as a sum of consecutive naturals, for example, 171307 + ... + 171365.

Almost surely, 2^10108824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10108824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128590).

10108824 is an abundant number, since it is smaller than the sum of its proper divisors (18148356).

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

10108824 is a wasteful number, since it uses less digits than its factorization.

10108824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10108824 is about 3179.4376861326. The cubic root of 10108824 is about 216.2221651055. Note that the first 3 decimals are identical.

Multiplying 10108824 by its sum of digits (24), we get a square (242611776 = 15576²).

10108824 divided by its sum of digits (24) gives a square (421201 = 649²).

Adding to 10108824 its reverse (42880101), we get a palindrome (52988925).

The spelling of 10108824 in words is "ten million, one hundred eight thousand, eight hundred twenty-four".