105688405368 has 480 divisors, whose sum is σ = 377920287360. Its totient is φ = 27342282240.

The previous prime is 105688405367. The next prime is 105688405423. The reversal of 105688405368 is 863504886501.

105688405368 is a `hidden beast` number, since 1 + 0 + 5 + 68 + 8 + 40 + 536 + 8 = 666.

It is a super-2 number, since 2×105688405368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105688405367) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 21874713 + ... + 21879543.

It is an arithmetic number, because the mean of its divisors is an integer number (787333932).

Almost surely, 2^105688405368 is an apocalyptic number.

105688405368 is a gapful number since it is divisible by the number (18) 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 105688405368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188960143680).

105688405368 is an abundant number, since it is smaller than the sum of its proper divisors (272231881992).

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

105688405368 is a wasteful number, since it uses less digits than its factorization.

105688405368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 105688405368 in words is "one hundred five billion, six hundred eighty-eight million, four hundred five thousand, three hundred sixty-eight".