10009820 has 24 divisors (see below), whose sum is σ = 21168000. Its totient is φ = 3975872.

The previous prime is 10009817. The next prime is 10009823. The reversal of 10009820 is 2890001.

It is an interprime number because it is at equal distance from previous prime (10009817) and next prime (10009823).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10009792 and 10009801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1301 + ... + 4659.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^10009820 is an apocalyptic number.

10009820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009820 is an abundant number, since it is smaller than the sum of its proper divisors (11158180).

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

10009820 is a wasteful number, since it uses less digits than its factorization.

10009820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10009820 is about 3163.8299575040. The cubic root of 10009820 is about 215.5139677605.

Adding to 10009820 its reverse (2890001), we get a palindrome (12899821).

The spelling of 10009820 in words is "ten million, nine thousand, eight hundred twenty".