105878678886400 has 1152 divisors, whose sum is σ = 318219632640000. Its totient is φ = 34176909312000.

The previous prime is 105878678886397. The next prime is 105878678886433. The reversal of 105878678886400 is 4688876878501.

It is a super-3 number, since 3×105878678886400³ (a number of 43 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62318232751 + ... + 62318234449.

It is an arithmetic number, because the mean of its divisors is an integer number (276232320000).

Almost surely, 2^{105878678886400} is an apocalyptic number.

105878678886400 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 105878678886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159109816320000).

105878678886400 is an abundant number, since it is smaller than the sum of its proper divisors (212340953753600).

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

105878678886400 is a wasteful number, since it uses less digits than its factorization.

105878678886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 76.

The spelling of 105878678886400 in words is "one hundred five trillion, eight hundred seventy-eight billion, six hundred seventy-eight million, eight hundred eighty-six thousand, four hundred".