10300418856 has 576 divisors, whose sum is σ = 36833771520. Its totient is φ = 2542026240.

The previous prime is 10300418819. The next prime is 10300418857. The reversal of 10300418856 is 65881400301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10300418856.

It is not an unprimeable number, because it can be changed into a prime (10300418857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124101391 + ... + 124101473.

It is an arithmetic number, because the mean of its divisors is an integer number (63947520).

Almost surely, 2^10300418856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300418856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416885760).

10300418856 is an abundant number, since it is smaller than the sum of its proper divisors (26533352664).

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

10300418856 is a wasteful number, since it uses less digits than its factorization.

10300418856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10300418856 in words is "ten billion, three hundred million, four hundred eighteen thousand, eight hundred fifty-six".