10307161800 has 576 divisors, whose sum is σ = 39809952000. Its totient is φ = 2368880640.

The previous prime is 10307161793. The next prime is 10307161811. The reversal of 10307161800 is 816170301.

10307161800 is a `hidden beast` number, since 10 + 30 + 7 + 1 + 618 + 0 + 0 = 666.

10307161800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 43126081 + ... + 43126319.

It is an arithmetic number, because the mean of its divisors is an integer number (69114500).

Almost surely, 2^10307161800 is an apocalyptic number.

10307161800 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 10307161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904976000).

10307161800 is an abundant number, since it is smaller than the sum of its proper divisors (29502790200).

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

10307161800 is a wasteful number, since it uses less digits than its factorization.

10307161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10307161800 in words is "ten billion, three hundred seven million, one hundred sixty-one thousand, eight hundred".