105851349 has 24 divisors (see below), whose sum is σ = 156237120. Its totient is φ = 69043392.

The previous prime is 105851341. The next prime is 105851353. The reversal of 105851349 is 943158501.

It is not a de Polignac number, because 105851349 - 2³ = 105851341 is a prime.

It is a super-2 number, since 2×105851349² = 22409016170239602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105851341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81862 + ... + 83144.

It is an arithmetic number, because the mean of its divisors is an integer number (6509880).

Almost surely, 2^105851349 is an apocalyptic number.

It is an amenable number.

105851349 is a deficient number, since it is larger than the sum of its proper divisors (50385771).

105851349 is a wasteful number, since it uses less digits than its factorization.

105851349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105851349 is about 10288.4084775052. The cubic root of 105851349 is about 473.0410163080.

The spelling of 105851349 in words is "one hundred five million, eight hundred fifty-one thousand, three hundred forty-nine".