103217930816 has 448 divisors, whose sum is σ = 283888281600. Its totient is φ = 36691200000.

The previous prime is 103217930771. The next prime is 103217930821. The reversal of 103217930816 is 618039712301.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×103217930816³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411226691 + ... + 411226941.

It is an arithmetic number, because the mean of its divisors is an integer number (633679200).

Almost surely, 2^103217930816 is an apocalyptic number.

103217930816 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 103217930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141944140800).

103217930816 is an abundant number, since it is smaller than the sum of its proper divisors (180670350784).

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

103217930816 is a wasteful number, since it uses less digits than its factorization.

103217930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 103217930816 in words is "one hundred three billion, two hundred seventeen million, nine hundred thirty thousand, eight hundred sixteen".