105813888 has 64 divisors (see below), whose sum is σ = 295881600. Its totient is φ = 33412608.

The previous prime is 105813887. The next prime is 105813901. The reversal of 105813888 is 888318501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105813888² = 22393157787353088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105813887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (4623150).

Almost surely, 2^105813888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147940800).

105813888 is an abundant number, since it is smaller than the sum of its proper divisors (190067712).

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

105813888 is a wasteful number, since it uses less digits than its factorization.

105813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14539 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The square root of 105813888 is about 10286.5877724346. The cubic root of 105813888 is about 472.9852063426.

The spelling of 105813888 in words is "one hundred five million, eight hundred thirteen thousand, eight hundred eighty-eight".