105878781888 has 168 divisors, whose sum is σ = 307966896384. Its totient is φ = 31838361600.

The previous prime is 105878781847. The next prime is 105878781893. The reversal of 105878781888 is 888187878501.

It is a super-2 number, since 2×105878781888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39638793 + ... + 39641463.

It is an arithmetic number, because the mean of its divisors is an integer number (1833136288).

Almost surely, 2^105878781888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105878781888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153983448192).

105878781888 is an abundant number, since it is smaller than the sum of its proper divisors (202088114496).

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

105878781888 is a wasteful number, since it uses less digits than its factorization.

105878781888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 69.

The spelling of 105878781888 in words is "one hundred five billion, eight hundred seventy-eight million, seven hundred eighty-one thousand, eight hundred eighty-eight".