105887808 has 168 divisors, whose sum is σ = 332841600. Its totient is φ = 31988736.

The previous prime is 105887753. The next prime is 105887813. The reversal of 105887808 is 808788501.

It is a happy number.

It is a super-2 number, since 2×105887808² = 22424455766089728, which contains 22 as substring.

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, 591463 + ... + 591641.

It is an arithmetic number, because the mean of its divisors is an integer number (1981200).

Almost surely, 2^105887808 is an apocalyptic number.

105887808 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 105887808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

105887808 is an abundant number, since it is smaller than the sum of its proper divisors (226953792).

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

105887808 is a wasteful number, since it uses less digits than its factorization.

105887808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 105887808 is about 10290.1801733497. The cubic root of 105887808 is about 473.0953208361.

The spelling of 105887808 in words is "one hundred five million, eight hundred eighty-seven thousand, eight hundred eight".