105825272 has 64 divisors (see below), whose sum is σ = 243000000. Its totient is φ = 42172416.

The previous prime is 105825271. The next prime is 105825281. The reversal of 105825272 is 272528501.

It is a happy number.

It is a super-2 number, since 2×105825272² = 22397976387747968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105825271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84104 + ... + 85352.

It is an arithmetic number, because the mean of its divisors is an integer number (3796875).

Almost surely, 2^105825272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105825272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121500000).

105825272 is an abundant number, since it is smaller than the sum of its proper divisors (137174728).

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

105825272 is a wasteful number, since it uses less digits than its factorization.

105825272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 105825272 is about 10287.1410994503. The cubic root of 105825272 is about 473.0021677913.

The spelling of 105825272 in words is "one hundred five million, eight hundred twenty-five thousand, two hundred seventy-two".