105842849 has 24 divisors (see below), whose sum is σ = 128154432. Its totient is φ = 85615200.

The previous prime is 105842839. The next prime is 105842851. The reversal of 105842849 is 948248501.

It is a de Polignac number, because none of the positive numbers 2^k-105842849 is a prime.

It is a super-2 number, since 2×105842849² = 22405417368873602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105842809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 373862 + ... + 374144.

It is an arithmetic number, because the mean of its divisors is an integer number (5339768).

Almost surely, 2^105842849 is an apocalyptic number.

It is an amenable number.

105842849 is a deficient number, since it is larger than the sum of its proper divisors (22311583).

105842849 is a wasteful number, since it uses less digits than its factorization.

105842849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 105842849 is about 10287.9953829694. The cubic root of 105842849 is about 473.0283540342.

The spelling of 105842849 in words is "one hundred five million, eight hundred forty-two thousand, eight hundred forty-nine".