105278816000 has 288 divisors, whose sum is σ = 278023898880. Its totient is φ = 39653376000.

The previous prime is 105278815991. The next prime is 105278816003. The reversal of 105278816000 is 618872501.

105278816000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105278816000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105278816003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38046617 + ... + 38049383.

It is an arithmetic number, because the mean of its divisors is an integer number (965360760).

Almost surely, 2^105278816000 is an apocalyptic number.

105278816000 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 105278816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139011949440).

105278816000 is an abundant number, since it is smaller than the sum of its proper divisors (172745082880).

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

105278816000 is an equidigital number, since it uses as much as digits as its factorization.

105278816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 105278816000 in words is "one hundred five billion, two hundred seventy-eight million, eight hundred sixteen thousand".