105822369 has 27 divisors (see below), whose sum is σ = 159985137. Its totient is φ = 69992748.

The previous prime is 105822361. The next prime is 105822391. The reversal of 105822369 is 963228501.

The square root of 105822369 is 10287.

It is a perfect power (a square), and thus also a powerful number.

105822369 is a `hidden beast` number, since 10 + 582 + 2 + 3 + 69 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 105822369 - 2³ = 105822361 is a prime.

It is a super-2 number, since 2×105822369² = 22396747561544322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105822361) 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 26 ways as a sum of consecutive naturals, for example, 833184 + ... + 833310.

Almost surely, 2^105822369 is an apocalyptic number.

105822369 is the 10287-th square number.

105822369 is the 5144-th centered octagonal number.

It is an amenable number.

105822369 is a deficient number, since it is larger than the sum of its proper divisors (54162768).

105822369 is an frugal number, since it uses more digits than its factorization.

105822369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 105822369 is about 472.9978426182.

Multiplying 105822369 by its sum of digits (36), we get a square (3809605284 = 61722²).

The spelling of 105822369 in words is "one hundred five million, eight hundred twenty-two thousand, three hundred sixty-nine".