103683407866560 has 448 divisors, whose sum is σ = 367259264870400. Its totient is φ = 27536717574144.

The previous prime is 103683407866553. The next prime is 103683407866639. The reversal of 103683407866560 is 65668704386301.

103683407866560 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 3 + 4 + 0 + 7 + 8 + 66 + 560 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2116438546 + ... + 2116487534.

It is an arithmetic number, because the mean of its divisors is an integer number (819775144800).

Almost surely, 2^{103683407866560} is an apocalyptic number.

103683407866560 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 103683407866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183629632435200).

103683407866560 is an abundant number, since it is smaller than the sum of its proper divisors (263575857003840).

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

103683407866560 is a wasteful number, since it uses less digits than its factorization.

103683407866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50005 (or 49989 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 103683407866560 in words is "one hundred three trillion, six hundred eighty-three billion, four hundred seven million, eight hundred sixty-six thousand, five hundred sixty".