105909003512881 has 8 divisors (see below), whose sum is σ = 106541041964544. Its totient is φ = 105277772780880.

The previous prime is 105909003512843. The next prime is 105909003512903. The reversal of 105909003512881 is 188215300909501.

It is a happy number.

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 105909003512881 - 2¹⁷ = 105909003381809 is a prime.

It is a super-2 number, since 2×105909003512881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105909003512981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201666891 + ... + 202191376.

It is an arithmetic number, because the mean of its divisors is an integer number (13317630245568).

Almost surely, 2^{105909003512881} is an apocalyptic number.

It is an amenable number.

105909003512881 is a deficient number, since it is larger than the sum of its proper divisors (632038451663).

105909003512881 is a wasteful number, since it uses less digits than its factorization.

105909003512881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403859831.

The product of its (nonzero) digits is 777600, while the sum is 52.

The spelling of 105909003512881 in words is "one hundred five trillion, nine hundred nine billion, three million, five hundred twelve thousand, eight hundred eighty-one".