105305987 has 8 divisors (see below), whose sum is σ = 106807296. Its totient is φ = 103815432.

The previous prime is 105305951. The next prime is 105306017. The reversal of 105305987 is 789503501.

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 105305987 - 2¹² = 105301891 is a prime.

It is a super-2 number, since 2×105305987² = 22178701796088338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105305987.

It is not an unprimeable number, because it can be changed into a prime (105305927) 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, 18158 + ... + 23244.

It is an arithmetic number, because the mean of its divisors is an integer number (13350912).

Almost surely, 2^105305987 is an apocalyptic number.

105305987 is a deficient number, since it is larger than the sum of its proper divisors (1501309).

105305987 is a wasteful number, since it uses less digits than its factorization.

105305987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 105305987 is about 10261.8705409881. The cubic root of 105305987 is about 472.2272243950.

The spelling of 105305987 in words is "one hundred five million, three hundred five thousand, nine hundred eighty-seven".