105877710217 has 8 divisors (see below), whose sum is σ = 115722127872. Its totient is φ = 96435105600.

The previous prime is 105877710209. The next prime is 105877710247. The reversal of 105877710217 is 712017778501.

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 105877710217 - 2³ = 105877710209 is a prime.

It is a super-2 number, since 2×105877710217² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105877710247) 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, 100452709 + ... + 100453762.

It is an arithmetic number, because the mean of its divisors is an integer number (14465265984).

Almost surely, 2^105877710217 is an apocalyptic number.

105877710217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105877710217 is a deficient number, since it is larger than the sum of its proper divisors (9844417655).

105877710217 is a wasteful number, since it uses less digits than its factorization.

105877710217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200906519.

The product of its (nonzero) digits is 192080, while the sum is 46.

The spelling of 105877710217 in words is "one hundred five billion, eight hundred seventy-seven million, seven hundred ten thousand, two hundred seventeen".