105003884 has 6 divisors (see below), whose sum is σ = 183756804. Its totient is φ = 52501940.

The previous prime is 105003859. The next prime is 105003887. The reversal of 105003884 is 488300501.

It is a super-3 number, since 3×105003884³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105003887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13125482 + ... + 13125489.

It is an arithmetic number, because the mean of its divisors is an integer number (30626134).

Almost surely, 2^105003884 is an apocalyptic number.

It is an amenable number.

105003884 is a deficient number, since it is larger than the sum of its proper divisors (78752920).

105003884 is a wasteful number, since it uses less digits than its factorization.

105003884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26250975 (or 26250973 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 105003884 is about 10247.1402840012. The cubic root of 105003884 is about 471.7752149515.

The spelling of 105003884 in words is "one hundred five million, three thousand, eight hundred eighty-four".