105677649 has 48 divisors (see below), whose sum is σ = 196712320. Its totient is φ = 54885600.

The previous prime is 105677641. The next prime is 105677651. The reversal of 105677649 is 946776501.

It is a happy number.

105677649 is a `hidden beast` number, since 10 + 567 + 76 + 4 + 9 = 666.

It is not a de Polignac number, because 105677649 - 2³ = 105677641 is a prime.

It is a super-2 number, since 2×105677649² = 22335530996334402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105677641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20559 + ... + 25179.

Almost surely, 2^105677649 is an apocalyptic number.

It is an amenable number.

105677649 is a deficient number, since it is larger than the sum of its proper divisors (91034671).

105677649 is a wasteful number, since it uses less digits than its factorization.

105677649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 105677649 is about 10279.9634726978. The cubic root of 105677649 is about 472.7821242823.

The spelling of 105677649 in words is "one hundred five million, six hundred seventy-seven thousand, six hundred forty-nine".