10081820 has 96 divisors (see below), whose sum is σ = 26320896. Its totient is φ = 3168000.

The previous prime is 10081807. The next prime is 10081847. The reversal of 10081820 is 2818001.

10081820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10081792 and 10081801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99770 + ... + 99870.

It is an arithmetic number, because the mean of its divisors is an integer number (274176).

Almost surely, 2^10081820 is an apocalyptic number.

10081820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10081820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160448).

10081820 is an abundant number, since it is smaller than the sum of its proper divisors (16239076).

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

10081820 is a wasteful number, since it uses less digits than its factorization.

10081820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10081820 is about 3175.1881833995. The cubic root of 10081820 is about 216.0294598593.

Adding to 10081820 its reverse (2818001), we get a palindrome (12899821).

It can be divided in two parts, 10081 and 820, that added together give a palindrome (10901).

The spelling of 10081820 in words is "ten million, eighty-one thousand, eight hundred twenty".