105807087 has 16 divisors (see below), whose sum is σ = 160989280. Its totient is φ = 68630976.

The previous prime is 105807077. The next prime is 105807089. The reversal of 105807087 is 780708501.

105807087 is a `hidden beast` number, since 1 + 0 + 580 + 70 + 8 + 7 = 666.

It is not a de Polignac number, because 105807087 - 2⁴ = 105807071 is a prime.

It is a super-2 number, since 2×105807087² = 22390279318851138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105807089) 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, 51958 + ... + 53955.

It is an arithmetic number, because the mean of its divisors is an integer number (10061830).

Almost surely, 2^105807087 is an apocalyptic number.

105807087 is a deficient number, since it is larger than the sum of its proper divisors (55182193).

105807087 is a wasteful number, since it uses less digits than its factorization.

105807087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105959 (or 105953 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 105807087 is about 10286.2571910292. The cubic root of 105807087 is about 472.9750726970.

The spelling of 105807087 in words is "one hundred five million, eight hundred seven thousand, eighty-seven".