105672549 has 16 divisors (see below), whose sum is σ = 146059200. Its totient is φ = 67877376.

The previous prime is 105672517. The next prime is 105672551. The reversal of 105672549 is 945276501.

It is not a de Polignac number, because 105672549 - 2⁵ = 105672517 is a prime.

It is a super-2 number, since 2×105672549² = 22333375224314802, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105672559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54997 + ... + 56885.

It is an arithmetic number, because the mean of its divisors is an integer number (9128700).

Almost surely, 2^105672549 is an apocalyptic number.

It is an amenable number.

105672549 is a deficient number, since it is larger than the sum of its proper divisors (40386651).

105672549 is a wasteful number, since it uses less digits than its factorization.

105672549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 105672549 is about 10279.7154143488. The cubic root of 105672549 is about 472.7745186765.

The spelling of 105672549 in words is "one hundred five million, six hundred seventy-two thousand, five hundred forty-nine".