10100824 has 16 divisors (see below), whose sum is σ = 18997200. Its totient is φ = 5034912.

The previous prime is 10100813. The next prime is 10100869. The reversal of 10100824 is 42800101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100798 and 10100807.

It is a congruent number.

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, 1114 + ... + 4630.

It is an arithmetic number, because the mean of its divisors is an integer number (1187325).

Almost surely, 2^10100824 is an apocalyptic number.

It is an amenable number.

10100824 is a deficient number, since it is larger than the sum of its proper divisors (8896376).

10100824 is a wasteful number, since it uses less digits than its factorization.

10100824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10100824 is about 3178.1793530259. The cubic root of 10100824 is about 216.1651115244.

Adding to 10100824 its reverse (42800101), we get a palindrome (52900925).

The spelling of 10100824 in words is "ten million, one hundred thousand, eight hundred twenty-four".