10124816 has 20 divisors (see below), whose sum is σ = 21126252. Its totient is φ = 4672896.

The previous prime is 10124771. The next prime is 10124819. The reversal of 10124816 is 61842101.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 6739216 = 1840^2 + 2596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10124791 and 10124800.

It is not an unprimeable number, because it can be changed into a prime (10124819) 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 3 ways as a sum of consecutive naturals, for example, 24131 + ... + 24546.

Almost surely, 2^10124816 is an apocalyptic number.

10124816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10124816 is an abundant number, since it is smaller than the sum of its proper divisors (11001436).

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

10124816 is a wasteful number, since it uses less digits than its factorization.

10124816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48698 (or 48692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10124816 is about 3181.9516023975. The cubic root of 10124816 is about 216.3361250497.

Adding to 10124816 its reverse (61842101), we get a palindrome (71966917).

The spelling of 10124816 in words is "ten million, one hundred twenty-four thousand, eight hundred sixteen".