10300363968 has 112 divisors (see below), whose sum is σ = 27583038560. Its totient is φ = 3392077824.

The previous prime is 10300363967. The next prime is 10300363987. The reversal of 10300363968 is 86936300301.

It is not an unprimeable number, because it can be changed into a prime (10300363967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12075030 + ... + 12075882.

It is an arithmetic number, because the mean of its divisors is an integer number (246277130).

Almost surely, 2^10300363968 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 10300363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791519280).

10300363968 is an abundant number, since it is smaller than the sum of its proper divisors (17282674592).

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

10300363968 is a wasteful number, since it uses less digits than its factorization.

10300363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 10300363968 in words is "ten billion, three hundred million, three hundred sixty-three thousand, nine hundred sixty-eight".