105521871 has 64 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 53222400.

The previous prime is 105521863. The next prime is 105521881. The reversal of 105521871 is 178125501.

It is not a de Polignac number, because 105521871 - 2³ = 105521863 is a prime.

It is a super-2 number, since 2×105521871² = 22269730518681282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105521881) 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 63 ways as a sum of consecutive naturals, for example, 1044721 + ... + 1044821.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2^105521871 is an apocalyptic number.

105521871 is a deficient number, since it is larger than the sum of its proper divisors (75434289).

105521871 is a wasteful number, since it uses less digits than its factorization.

105521871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 105521871 is about 10272.3839005364. The cubic root of 105521871 is about 472.5497027864.

The spelling of 105521871 in words is "one hundred five million, five hundred twenty-one thousand, eight hundred seventy-one".