830103120 has 960 divisors, whose sum is σ = 3908321280. Its totient is φ = 159667200.

The previous prime is 830103083. The next prime is 830103167. The reversal of 830103120 is 21301038.

830103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 830103093 and 830103102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26777505 + ... + 26777535.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2^830103120 is an apocalyptic number.

830103120 is a gapful number since it is divisible by the number (80) 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 830103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954160640).

830103120 is an abundant number, since it is smaller than the sum of its proper divisors (3078218160).

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

830103120 is a wasteful number, since it uses less digits than its factorization.

830103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 830103120 is about 28811.5101999184. The cubic root of 830103120 is about 939.8185555929.

Adding to 830103120 its reverse (21301038), we get a palindrome (851404158).

The spelling of 830103120 in words is "eight hundred thirty million, one hundred three thousand, one hundred twenty".