103331299968 has 768 divisors, whose sum is σ = 363002169600. Its totient is φ = 28707250176.

The previous prime is 103331299963. The next prime is 103331299997. The reversal of 103331299968 is 869992133301.

It is a happy number.

103331299968 is a `hidden beast` number, since 10 + 3 + 331 + 299 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (103331299963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373037046 + ... + 373037322.

It is an arithmetic number, because the mean of its divisors is an integer number (472659075).

Almost surely, 2^103331299968 is an apocalyptic number.

103331299968 is a gapful number since it is divisible by the number (18) 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 103331299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181501084800).

103331299968 is an abundant number, since it is smaller than the sum of its proper divisors (259670869632).

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

103331299968 is a wasteful number, since it uses less digits than its factorization.

103331299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 103331299968 in words is "one hundred three billion, three hundred thirty-one million, two hundred ninety-nine thousand, nine hundred sixty-eight".