10127820 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2506240.

The previous prime is 10127813. The next prime is 10127863. The reversal of 10127820 is 2872101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56491 + ... + 56669.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^10127820 is an apocalyptic number.

10127820 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 10127820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

10127820 is an abundant number, since it is smaller than the sum of its proper divisors (20354100).

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

10127820 is a wasteful number, since it uses less digits than its factorization.

10127820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10127820 is about 3182.4236047390. The cubic root of 10127820 is about 216.3575183424.

Adding to 10127820 its reverse (2872101), we get a palindrome (12999921).

The spelling of 10127820 in words is "ten million, one hundred twenty-seven thousand, eight hundred twenty".