105822368 has 48 divisors (see below), whose sum is σ = 215843040. Its totient is φ = 51031296.

The previous prime is 105822361. The next prime is 105822391. The reversal of 105822368 is 863228501.

It is a Cunningham number, because it is equal to 10287²-1.

It is a super-2 number, since 2×105822368² = 22396747138254848, 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164255 + ... + 164897.

It is an arithmetic number, because the mean of its divisors is an integer number (4496730).

Almost surely, 2^105822368 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 105822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107921520).

105822368 is an abundant number, since it is smaller than the sum of its proper divisors (110020672).

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

105822368 is a wasteful number, since it uses less digits than its factorization.

105822368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 105822368 is about 10286.9999513950. Note that the first 4 decimals coincide. The cubic root of 105822368 is about 472.9978411283.

The spelling of 105822368 in words is "one hundred five million, eight hundred twenty-two thousand, three hundred sixty-eight".