105663888 has 120 divisors (see below), whose sum is σ = 330666336. Its totient is φ = 31219200.

The previous prime is 105663881. The next prime is 105663893. The reversal of 105663888 is 888366501.

105663888 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 638 + 8 + 8 = 666.

It is a super-2 number, since 2×105663888² = 22329714454553088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105663881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64131 + ... + 65757.

Almost surely, 2^105663888 is an apocalyptic number.

105663888 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 105663888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165333168).

105663888 is an abundant number, since it is smaller than the sum of its proper divisors (225002448).

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

105663888 is a wasteful number, since it uses less digits than its factorization.

105663888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 105663888 is about 10279.2941391907. The cubic root of 105663888 is about 472.7616020076.

The spelling of 105663888 in words is "one hundred five million, six hundred sixty-three thousand, eight hundred eighty-eight".