105759987 has 8 divisors (see below), whose sum is σ = 141160704. Its totient is φ = 70432968.

The previous prime is 105759961. The next prime is 105759989. The reversal of 105759987 is 789957501.

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

It is not a de Polignac number, because 105759987 - 2¹⁰ = 105758963 is a prime.

It is a super-2 number, since 2×105759987² = 22370349700480338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105759989) 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, 14983 + ... + 20880.

It is an arithmetic number, because the mean of its divisors is an integer number (17645088).

Almost surely, 2^105759987 is an apocalyptic number.

105759987 is a deficient number, since it is larger than the sum of its proper divisors (35400717).

105759987 is an equidigital number, since it uses as much as digits as its factorization.

105759987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36849.

The product of its (nonzero) digits is 793800, while the sum is 51.

The square root of 105759987 is about 10283.9674736942. The cubic root of 105759987 is about 472.9048806997.

The spelling of 105759987 in words is "one hundred five million, seven hundred fifty-nine thousand, nine hundred eighty-seven".