105888 has 24 divisors (see below), whose sum is σ = 278208. Its totient is φ = 35264.

The previous prime is 105883. The next prime is 105899. The reversal of 105888 is 888501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105888² = 22424537088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105883) by changing a digit.

105888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 456 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2¹⁰⁵⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

105888 is an abundant number, since it is smaller than the sum of its proper divisors (172320).

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

105888 is a wasteful number, since it uses less digits than its factorization.

105888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 105888 is about 325.4043638306. The cubic root of 105888 is about 47.3095606781.

The spelling of 105888 in words is "one hundred five thousand, eight hundred eighty-eight".