105000882 has 32 divisors (see below), whose sum is σ = 240371712. Its totient is φ = 29954064.

The previous prime is 105000871. The next prime is 105000887. The reversal of 105000882 is 288000501.

It is a super-2 number, since 2×105000882² = 22050370441555848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000887) 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 in 15 ways as a sum of consecutive naturals, for example, 33223 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (7511616).

Almost surely, 2^105000882 is an apocalyptic number.

105000882 is an abundant number, since it is smaller than the sum of its proper divisors (135370830).

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

105000882 is a wasteful number, since it uses less digits than its factorization.

105000882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 105000882 is about 10246.9938030624. The cubic root of 105000882 is about 471.7707189823.

The spelling of 105000882 in words is "one hundred five million, eight hundred eighty-two", and thus it is an aban number.