8103663120 has 320 divisors, whose sum is σ = 30023078400. Its totient is φ = 1807088640.

The previous prime is 8103663109. The next prime is 8103663121. The reversal of 8103663120 is 213663018.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8103663121) 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 63 ways as a sum of consecutive naturals, for example, 197650300 + ... + 197650340.

It is an arithmetic number, because the mean of its divisors is an integer number (93822120).

Almost surely, 2^8103663120 is an apocalyptic number.

8103663120 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 8103663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011539200).

8103663120 is an abundant number, since it is smaller than the sum of its proper divisors (21919415280).

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

8103663120 is an frugal number, since it uses more digits than its factorization.

8103663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8103663120 is about 90020.3483663555. The cubic root of 8103663120 is about 2008.6015469947.

The spelling of 8103663120 in words is "eight billion, one hundred three million, six hundred sixty-three thousand, one hundred twenty".