103543066368 has 576 divisors, whose sum is σ = 371151155200. Its totient is φ = 27814440960.

The previous prime is 103543066331. The next prime is 103543066381. The reversal of 103543066368 is 863660345301.

103543066368 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 4 + 3 + 0 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×103543066368³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 149844903 + ... + 149845593.

Almost surely, 2^103543066368 is an apocalyptic number.

103543066368 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 103543066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185575577600).

103543066368 is an abundant number, since it is smaller than the sum of its proper divisors (267608088832).

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

103543066368 is a wasteful number, since it uses less digits than its factorization.

103543066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 103543066368 in words is "one hundred three billion, five hundred forty-three million, sixty-six thousand, three hundred sixty-eight".