105871572 has 72 divisors (see below), whose sum is σ = 290850560. Its totient is φ = 32348160.

The previous prime is 105871517. The next prime is 105871573. The reversal of 105871572 is 275178501.

105871572 is a `hidden beast` number, since 1 + 0 + 5 + 87 + 1 + 572 = 666.

It is a super-2 number, since 2×105871572² = 22417579515502368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105871573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18708 + ... + 23700.

Almost surely, 2^105871572 is an apocalyptic number.

105871572 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 105871572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145425280).

105871572 is an abundant number, since it is smaller than the sum of its proper divisors (184978988).

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

105871572 is a wasteful number, since it uses less digits than its factorization.

105871572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5048 counting only the distinct ones).

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

The square root of 105871572 is about 10289.3912356368. The cubic root of 105871572 is about 473.0711393670.

The spelling of 105871572 in words is "one hundred five million, eight hundred seventy-one thousand, five hundred seventy-two".