10120820 has 24 divisors (see below), whose sum is σ = 21313824. Its totient is φ = 4036896.

The previous prime is 10120807. The next prime is 10120829. The reversal of 10120820 is 2802101.

It is a junction number, because it is equal to n+sod(n) for n = 10120795 and 10120804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120829) 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, 12467 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (888076).

Almost surely, 2^10120820 is an apocalyptic number.

10120820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120820 is an abundant number, since it is smaller than the sum of its proper divisors (11193004).

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

10120820 is a wasteful number, since it uses less digits than its factorization.

10120820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10120820 is about 3181.3236239025. The cubic root of 10120820 is about 216.3076605683.

Adding to 10120820 its reverse (2802101), we get a palindrome (12922921).

The spelling of 10120820 in words is "ten million, one hundred twenty thousand, eight hundred twenty".