10824114 has 16 divisors (see below), whose sum is σ = 24740928. Its totient is φ = 3092592.

The previous prime is 10824101. The next prime is 10824119. The reversal of 10824114 is 41142801.

It is a happy number.

It is a super-2 number, since 2×10824114² = 234322887769992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10824119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128817 + ... + 128900.

It is an arithmetic number, because the mean of its divisors is an integer number (1546308).

Almost surely, 2^10824114 is an apocalyptic number.

10824114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10824114 is an abundant number, since it is smaller than the sum of its proper divisors (13916814).

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

10824114 is a wasteful number, since it uses less digits than its factorization.

10824114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257729.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10824114 is about 3290.0021276589. The cubic root of 10824114 is about 221.2062801034.

Adding to 10824114 its reverse (41142801), we get a palindrome (51966915).

The spelling of 10824114 in words is "ten million, eight hundred twenty-four thousand, one hundred fourteen".