10305120 has 96 divisors (see below), whose sum is σ = 37110528. Its totient is φ = 2354688.

The previous prime is 10305109. The next prime is 10305133. The reversal of 10305120 is 2150301.

10305120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10305096 and 10305105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (386568).

Almost surely, 2^10305120 is an apocalyptic number.

10305120 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 10305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18555264).

10305120 is an abundant number, since it is smaller than the sum of its proper divisors (26805408).

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

10305120 is a wasteful number, since it uses less digits than its factorization.

10305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10305120 is about 3210.1588745730. The cubic root of 10305120 is about 217.6127569655.

Adding to 10305120 its reverse (2150301), we get a palindrome (12455421).

The spelling of 10305120 in words is "ten million, three hundred five thousand, one hundred twenty".