105824442 has 16 divisors (see below), whose sum is σ = 212833440. Its totient is φ = 35077392.

The previous prime is 105824431. The next prime is 105824443. The reversal of 105824442 is 244428501.

It is a super-2 number, since 2×105824442² = 22397625049222728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105824443) 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 7 ways as a sum of consecutive naturals, for example, 48193 + ... + 50340.

It is an arithmetic number, because the mean of its divisors is an integer number (13302090).

Almost surely, 2^105824442 is an apocalyptic number.

105824442 is an abundant number, since it is smaller than the sum of its proper divisors (107008998).

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

105824442 is a wasteful number, since it uses less digits than its factorization.

105824442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98717.

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 105824442 is about 10287.1007577451. The cubic root of 105824442 is about 473.0009311843. Note that the first 3 decimals are identical.

The spelling of 105824442 in words is "one hundred five million, eight hundred twenty-four thousand, four hundred forty-two".