10141824 has 160 divisors (see below), whose sum is σ = 34284240. Its totient is φ = 2634240.

The previous prime is 10141823. The next prime is 10141849. The reversal of 10141824 is 42814101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10141824.

It is not an unprimeable number, because it can be changed into a prime (10141823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 921979 + ... + 921989.

Almost surely, 2^10141824 is an apocalyptic number.

10141824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142120).

10141824 is an abundant number, since it is smaller than the sum of its proper divisors (24142416).

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

10141824 is an frugal number, since it uses more digits than its factorization.

10141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

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

The square root of 10141824 is about 3184.6230546173. The cubic root of 10141824 is about 216.4571934704.

Adding to 10141824 its reverse (42814101), we get a palindrome (52955925).

It can be divided in two parts, 101 and 41824, that multiplied together give a palindrome (4224224).

The spelling of 10141824 in words is "ten million, one hundred forty-one thousand, eight hundred twenty-four".