10305920 has 32 divisors (see below), whose sum is σ = 24639120. Its totient is φ = 4122112.

The previous prime is 10305913. The next prime is 10305929. The reversal of 10305920 is 2950301.

It is a tau number, because it is divible by the number of its divisors (32).

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 = 10305892 and 10305901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7412 + ... + 8691.

Almost surely, 2^10305920 is an apocalyptic number.

10305920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305920 is an abundant number, since it is smaller than the sum of its proper divisors (14333200).

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

10305920 is an equidigital number, since it uses as much as digits as its factorization.

10305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16122 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 10305920 is about 3210.2834765796. The cubic root of 10305920 is about 217.6183880078.

The spelling of 10305920 in words is "ten million, three hundred five thousand, nine hundred twenty".