105675689 has 16 divisors (see below), whose sum is σ = 128745216. Its totient is φ = 84672000.

The previous prime is 105675677. The next prime is 105675697. The reversal of 105675689 is 986576501.

It is a de Polignac number, because none of the positive numbers 2^k-105675689 is a prime.

It is a super-2 number, since 2×105675689² = 22334702491249442, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105675649) 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, 15029 + ... + 20909.

It is an arithmetic number, because the mean of its divisors is an integer number (8046576).

Almost surely, 2^105675689 is an apocalyptic number.

It is an amenable number.

105675689 is a deficient number, since it is larger than the sum of its proper divisors (23069527).

105675689 is a wasteful number, since it uses less digits than its factorization.

105675689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056.

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 105675689 is about 10279.8681411777. The cubic root of 105675689 is about 472.7792013725.

The spelling of 105675689 in words is "one hundred five million, six hundred seventy-five thousand, six hundred eighty-nine".