10130770320 has 160 divisors (see below), whose sum is σ = 34646175360. Its totient is φ = 2428293120.

The previous prime is 10130770313. The next prime is 10130770337. The reversal of 10130770320 is 2307703101.

10130770320 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213402 + ... + 256518.

It is an arithmetic number, because the mean of its divisors is an integer number (216538596).

Almost surely, 2^10130770320 is an apocalyptic number.

10130770320 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 10130770320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323087680).

10130770320 is an abundant number, since it is smaller than the sum of its proper divisors (24515405040).

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

10130770320 is a wasteful number, since it uses less digits than its factorization.

10130770320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43233 (or 43227 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The spelling of 10130770320 in words is "ten billion, one hundred thirty million, seven hundred seventy thousand, three hundred twenty".