105538884 has 48 divisors (see below), whose sum is σ = 269269056. Its totient is φ = 31907200.

The previous prime is 105538871. The next prime is 105538889. The reversal of 105538884 is 488835501.

It is a super-2 number, since 2×105538884² = 22276912071930912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105538889) 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 15 ways as a sum of consecutive naturals, for example, 88774 + ... + 89954.

It is an arithmetic number, because the mean of its divisors is an integer number (5609772).

Almost surely, 2^105538884 is an apocalyptic number.

It is an amenable number.

105538884 is an abundant number, since it is smaller than the sum of its proper divisors (163730172).

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

105538884 is a wasteful number, since it uses less digits than its factorization.

105538884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 105538884 is about 10273.2119612125. The cubic root of 105538884 is about 472.5750973831.

The spelling of 105538884 in words is "one hundred five million, five hundred thirty-eight thousand, eight hundred eighty-four".