10087603120 has 160 divisors (see below), whose sum is σ = 29442401280. Its totient is φ = 3134039040.

The previous prime is 10087603087. The next prime is 10087603171. The reversal of 10087603120 is 2130678001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224110 + ... + 265330.

It is an arithmetic number, because the mean of its divisors is an integer number (184015008).

Almost surely, 2^10087603120 is an apocalyptic number.

10087603120 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 10087603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721200640).

10087603120 is an abundant number, since it is smaller than the sum of its proper divisors (19354798160).

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

10087603120 is a wasteful number, since it uses less digits than its factorization.

10087603120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41283 (or 41277 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 10087603120 in words is "ten billion, eighty-seven million, six hundred three thousand, one hundred twenty".