105811842 has 32 divisors (see below), whose sum is σ = 226312704. Its totient is φ = 32864000.

The previous prime is 105811831. The next prime is 105811843. The reversal of 105811842 is 248118501.

It is a happy number.

It is a super-2 number, since 2×105811842² = 22392291814865928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105811843) 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 15 ways as a sum of consecutive naturals, for example, 5167 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (7072272).

Almost surely, 2^105811842 is an apocalyptic number.

105811842 is an abundant number, since it is smaller than the sum of its proper divisors (120500862).

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

105811842 is a wasteful number, since it uses less digits than its factorization.

105811842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394.

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 105811842 is about 10286.4883220660. The cubic root of 105811842 is about 472.9821578014.

The spelling of 105811842 in words is "one hundred five million, eight hundred eleven thousand, eight hundred forty-two".