10301920 has 72 divisors (see below), whose sum is σ = 25524072. Its totient is φ = 3928320.

The previous prime is 10301911. The next prime is 10301923. The reversal of 10301920 is 2910301.

It is a super-2 number, since 2×10301920² = 212259111372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10301894 and 10301903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153727 + ... + 153793.

It is an arithmetic number, because the mean of its divisors is an integer number (354501).

Almost surely, 2^10301920 is an apocalyptic number.

10301920 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 10301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12762036).

10301920 is an abundant number, since it is smaller than the sum of its proper divisors (15222152).

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

10301920 is an equidigital number, since it uses as much as digits as its factorization.

10301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10301920 is about 3209.6604181751. The cubic root of 10301920 is about 217.5902298814.

The spelling of 10301920 in words is "ten million, three hundred one thousand, nine hundred twenty".