103376616336 has 640 divisors, whose sum is σ = 369976320000. Its totient is φ = 27543462912.

The previous prime is 103376616319. The next prime is 103376616347. The reversal of 103376616336 is 633616673301.

103376616336 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 7 + 6 + 6 + 1 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103376616291 and 103376616300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205519861 + ... + 205520363.

It is an arithmetic number, because the mean of its divisors is an integer number (578088000).

Almost surely, 2^103376616336 is an apocalyptic number.

103376616336 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 103376616336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160000).

103376616336 is an abundant number, since it is smaller than the sum of its proper divisors (266599703664).

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

103376616336 is a wasteful number, since it uses less digits than its factorization.

103376616336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 103376616336 in words is "one hundred three billion, three hundred seventy-six million, six hundred sixteen thousand, three hundred thirty-six".