10209824 has 12 divisors (see below), whose sum is σ = 20100654. Its totient is φ = 5104896.

The previous prime is 10209803. The next prime is 10209863. The reversal of 10209824 is 42890201.

It can be written as a sum of positive squares in only one way, i.e., 5664400 + 4545424 = 2380^2 + 2132^2 .

It is a super-2 number, since 2×10209824² = 208481012221952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10209793 and 10209802.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159497 + ... + 159560.

Almost surely, 2^10209824 is an apocalyptic number.

It is an amenable number.

10209824 is a deficient number, since it is larger than the sum of its proper divisors (9890830).

10209824 is an equidigital number, since it uses as much as digits as its factorization.

10209824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319067 (or 319059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10209824 is about 3195.2815212435. The cubic root of 10209824 is about 216.9398914689.

The spelling of 10209824 in words is "ten million, two hundred nine thousand, eight hundred twenty-four".