10000920 has 32 divisors (see below), whose sum is σ = 30003120. Its totient is φ = 2666880.

The previous prime is 10000891. The next prime is 10000931. The reversal of 10000920 is 2900001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000896 and 10000905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41551 + ... + 41790.

Almost surely, 2^10000920 is an apocalyptic number.

10000920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000920 is an abundant number, since it is smaller than the sum of its proper divisors (20002200).

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

10000920 is a wasteful number, since it uses less digits than its factorization.

10000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83355 (or 83351 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10000920 is about 3162.4231215952. The cubic root of 10000920 is about 215.4500757336.

Adding to 10000920 its reverse (2900001), we get a palindrome (12900921).

The spelling of 10000920 in words is "ten million, nine hundred twenty", and thus it is an aban number.