105965842 has 8 divisors (see below), whose sum is σ = 159901056. Its totient is φ = 52665492.

The previous prime is 105965833. The next prime is 105965887. The reversal of 105965842 is 248569501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105965842² = 22457519341537928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105965795 and 105965804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158298 + ... + 158965.

It is an arithmetic number, because the mean of its divisors is an integer number (19987632).

Almost surely, 2^105965842 is an apocalyptic number.

105965842 is a deficient number, since it is larger than the sum of its proper divisors (53935214).

105965842 is a wasteful number, since it uses less digits than its factorization.

105965842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317432.

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 105965842 is about 10293.9711482013. The cubic root of 105965842 is about 473.2115081350.

The spelling of 105965842 in words is "one hundred five million, nine hundred sixty-five thousand, eight hundred forty-two".