105305949 has 18 divisors (see below), whose sum is σ = 176943390. Its totient is φ = 60174576.

The previous prime is 105305929. The next prime is 105305951. The reversal of 105305949 is 949503501.

105305949 is a `hidden beast` number, since 10 + 53 + 0 + 594 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75951225 + 29354724 = 8715^2 + 5418^2 .

It is not a de Polignac number, because 105305949 - 2⁷ = 105305821 is a prime.

It is a super-2 number, since 2×105305949² = 22178685789581202, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305929) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118954 + ... + 119835.

Almost surely, 2^105305949 is an apocalyptic number.

It is an amenable number.

105305949 is a deficient number, since it is larger than the sum of its proper divisors (71637441).

105305949 is a wasteful number, since it uses less digits than its factorization.

105305949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238809 (or 238799 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105305949 is about 10261.8686894737. The cubic root of 105305949 is about 472.2271675935.

The spelling of 105305949 in words is "one hundred five million, three hundred five thousand, nine hundred forty-nine".