105849834 has 16 divisors (see below), whose sum is σ = 213317280. Its totient is φ = 35013680.

The previous prime is 105849833. The next prime is 105849839. The reversal of 105849834 is 438948501.

It is a super-2 number, since 2×105849834² = 22408374715655112, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105849833) 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, 66549 + ... + 68120.

It is an arithmetic number, because the mean of its divisors is an integer number (13332330).

Almost surely, 2^105849834 is an apocalyptic number.

105849834 is an abundant number, since it is smaller than the sum of its proper divisors (107467446).

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

105849834 is a wasteful number, since it uses less digits than its factorization.

105849834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134805.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 105849834 is about 10288.3348506938. The cubic root of 105849834 is about 473.0387594935.

The spelling of 105849834 in words is "one hundred five million, eight hundred forty-nine thousand, eight hundred thirty-four".