10301865800 has 36 divisors (see below), whose sum is σ = 23955175755. Its totient is φ = 4120172160.

The previous prime is 10301865787. The next prime is 10301865803. The reversal of 10301865800 is 856810301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10301865800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8722439236 + 1579426564 = 93394^2 + 39742^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71770.

It is a super-2 number, since 2×10301865800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10301865803) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1431812 + ... + 1438988.

Almost surely, 2^10301865800 is an apocalyptic number.

10301865800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301865800 is an abundant number, since it is smaller than the sum of its proper divisors (13653309955).

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

10301865800 is an frugal number, since it uses more digits than its factorization.

10301865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Multiplying 10301865800 by its sum of digits (32), we get a square (329659705600 = 574160²).

The spelling of 10301865800 in words is "ten billion, three hundred one million, eight hundred sixty-five thousand, eight hundred".