105571872 has 108 divisors (see below), whose sum is σ = 349282206. Its totient is φ = 30159360.

The previous prime is 105571859. The next prime is 105571883. The reversal of 105571872 is 278175501.

105571872 is a `hidden beast` number, since 1 + 0 + 5 + 571 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 33593616 = 8484^2 + 5796^2 .

It is a super-2 number, since 2×105571872² = 22290840315168768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 10372 + ... + 17852.

Almost surely, 2^105571872 is an apocalyptic number.

105571872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105571872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174641103).

105571872 is an abundant number, since it is smaller than the sum of its proper divisors (243710334).

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

105571872 is a wasteful number, since it uses less digits than its factorization.

105571872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 105571872 is about 10274.8173706397. The cubic root of 105571872 is about 472.6243294221.

It can be divided in two parts, 1055 and 71872, that added together give a palindrome (72927).

The spelling of 105571872 in words is "one hundred five million, five hundred seventy-one thousand, eight hundred seventy-two".