105008881 has 8 divisors (see below), whose sum is σ = 113772384. Its totient is φ = 96532800.

The previous prime is 105008879. The next prime is 105008887. The reversal of 105008881 is 188800501.

It is a happy number.

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

It is not a de Polignac number, because 105008881 - 2¹ = 105008879 is a prime.

It is a super-2 number, since 2×105008881² = 22053730177744322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105008887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71095 + ... + 72556.

It is an arithmetic number, because the mean of its divisors is an integer number (14221548).

Almost surely, 2^105008881 is an apocalyptic number.

It is an amenable number.

105008881 is a deficient number, since it is larger than the sum of its proper divisors (8763503).

105008881 is a wasteful number, since it uses less digits than its factorization.

105008881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143711.

The product of its (nonzero) digits is 2560, while the sum is 31.

The square root of 105008881 is about 10247.3841052241. The cubic root of 105008881 is about 471.7826985583.

The spelling of 105008881 in words is "one hundred five million, eight thousand, eight hundred eighty-one".