103856168908800 has 5184 divisors, whose sum is σ = 518848336581120. Its totient is φ = 20288765952000.

The previous prime is 103856168908799. The next prime is 103856168908883. The reversal of 103856168908800 is 8809861658301.

103856168908800 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 616 + 8 + 9 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×103856168908800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 114002380345 + ... + 114002381255.

It is an arithmetic number, because the mean of its divisors is an integer number (100086484680).

Almost surely, 2^{103856168908800} is an apocalyptic number.

103856168908800 is a gapful number since it is divisible by the number (10) 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 103856168908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259424168290560).

103856168908800 is an abundant number, since it is smaller than the sum of its proper divisors (414992167672320).

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

103856168908800 is a wasteful number, since it uses less digits than its factorization.

103856168908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 103856168908800 in words is "one hundred three trillion, eight hundred fifty-six billion, one hundred sixty-eight million, nine hundred eight thousand, eight hundred".