105908649 has 24 divisors (see below), whose sum is σ = 179202528. Its totient is φ = 55016640.

The previous prime is 105908639. The next prime is 105908669. The reversal of 105908649 is 946809501.

It is not a de Polignac number, because 105908649 - 2¹⁷ = 105777577 is a prime.

It is a super-2 number, since 2×105908649² = 22433283866010402, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105908649.

It is not an unprimeable number, because it can be changed into a prime (105908639) 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, 31132 + ... + 34365.

It is an arithmetic number, because the mean of its divisors is an integer number (7466772).

Almost surely, 2^105908649 is an apocalyptic number.

It is an amenable number.

105908649 is a deficient number, since it is larger than the sum of its proper divisors (73293879).

105908649 is a wasteful number, since it uses less digits than its factorization.

105908649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65525 (or 65518 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105908649 is about 10291.1927880105. The cubic root of 105908649 is about 473.1263572477.

The spelling of 105908649 in words is "one hundred five million, nine hundred eight thousand, six hundred forty-nine".