105949 has 4 divisors (see below), whose sum is σ = 107100. Its totient is φ = 104800.

The previous prime is 105943. The next prime is 105953. The reversal of 105949 is 949501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 6724 = 315^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 105949 - 2⁹ = 105437 is a prime.

It is a super-2 number, since 2×105949² = 22450381202, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

2¹⁰⁵⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

105949 is a deficient number, since it is larger than the sum of its proper divisors (1151).

105949 is a wasteful number, since it uses less digits than its factorization.

105949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105949 is about 325.4980798714. The cubic root of 105949 is about 47.3186436375.

Subtracting from 105949 its product of nonzero digits (1620), we obtain a square (104329 = 323²).

The spelling of 105949 in words is "one hundred five thousand, nine hundred forty-nine".