105968987 has 8 divisors (see below), whose sum is σ = 109747200. Its totient is φ = 102199104.

The previous prime is 105968983. The next prime is 105969001. The reversal of 105968987 is 789869501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105968987 - 2² = 105968983 is a prime.

It is a super-2 number, since 2×105968987² = 22458852411612338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105968983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35663 + ... + 38519.

It is an arithmetic number, because the mean of its divisors is an integer number (13718400).

Almost surely, 2^105968987 is an apocalyptic number.

105968987 is a deficient number, since it is larger than the sum of its proper divisors (3778213).

105968987 is a wasteful number, since it uses less digits than its factorization.

105968987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165.

The product of its (nonzero) digits is 1088640, while the sum is 53.

The square root of 105968987 is about 10294.1239063847. The cubic root of 105968987 is about 473.2161896293.

The spelling of 105968987 in words is "one hundred five million, nine hundred sixty-eight thousand, nine hundred eighty-seven".