10081824 has 24 divisors (see below), whose sum is σ = 26465040. Its totient is φ = 3360576.

The previous prime is 10081807. The next prime is 10081847. The reversal of 10081824 is 42818001.

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

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 = 10081794 and 10081803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52414 + ... + 52605.

It is an arithmetic number, because the mean of its divisors is an integer number (1102710).

Almost surely, 2^10081824 is an apocalyptic number.

It is an amenable number.

10081824 is an abundant number, since it is smaller than the sum of its proper divisors (16383216).

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

10081824 is a wasteful number, since it uses less digits than its factorization.

10081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105032 (or 105024 counting only the distinct ones).

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

The square root of 10081824 is about 3175.1888132834. The cubic root of 10081824 is about 216.0294884295.

Adding to 10081824 its reverse (42818001), we get a palindrome (52899825).

The spelling of 10081824 in words is "ten million, eighty-one thousand, eight hundred twenty-four".