105108949 has 6 divisors (see below), whose sum is σ = 115533110. Its totient is φ = 95553480.

The previous prime is 105108923. The next prime is 105108973. The reversal of 105108949 is 949801501.

It can be written as a sum of positive squares in only one way, i.e., 84768849 + 20340100 = 9207^2 + 4510^2 .

It is not a de Polignac number, because 105108949 - 2⁷ = 105108821 is a prime.

It is a super-2 number, since 2×105108949² = 22095782319769202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105108049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434214 + ... + 434455.

Almost surely, 2^105108949 is an apocalyptic number.

It is an amenable number.

105108949 is a deficient number, since it is larger than the sum of its proper divisors (10424161).

105108949 is an equidigital number, since it uses as much as digits as its factorization.

105108949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868691 (or 868680 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105108949 is about 10252.2655545006. The cubic root of 105108949 is about 471.9325124351.

The spelling of 105108949 in words is "one hundred five million, one hundred eight thousand, nine hundred forty-nine".