103361826816 has 312 divisors, whose sum is σ = 312702237120. Its totient is φ = 34111881216.

The previous prime is 103361826779. The next prime is 103361826853. The reversal of 103361826816 is 618628163301.

103361826816 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 618 + 26 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (103361826779) and next prime (103361826853).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112471605 + ... + 112472523.

It is an arithmetic number, because the mean of its divisors is an integer number (1002250760).

Almost surely, 2^103361826816 is an apocalyptic number.

103361826816 is a gapful number since it is divisible by the number (16) 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 103361826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156351118560).

103361826816 is an abundant number, since it is smaller than the sum of its proper divisors (209340410304).

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

103361826816 is an frugal number, since it uses more digits than its factorization.

103361826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103361826816 in words is "one hundred three billion, three hundred sixty-one million, eight hundred twenty-six thousand, eight hundred sixteen".