105888823866 has 96 divisors (see below), whose sum is σ = 271351866240. Its totient is φ = 29198913408.

The previous prime is 105888823813. The next prime is 105888823871. The reversal of 105888823866 is 668328888501.

105888823866 is a `hidden beast` number, since 10 + 588 + 8 + 8 + 2 + 38 + 6 + 6 = 666.

It is a super-2 number, since 2×105888823866² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12993205 + ... + 13001351.

It is an arithmetic number, because the mean of its divisors is an integer number (2826581940).

Almost surely, 2^105888823866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105888823866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135675933120).

105888823866 is an abundant number, since it is smaller than the sum of its proper divisors (165463042374).

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

105888823866 is a wasteful number, since it uses less digits than its factorization.

105888823866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11748 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 105888823866 in words is "one hundred five billion, eight hundred eighty-eight million, eight hundred twenty-three thousand, eight hundred sixty-six".