100111717105 has 8 divisors (see below), whose sum is σ = 121779733032. Its totient is φ = 78992258688.

The previous prime is 100111717103. The next prime is 100111717109. The reversal of 100111717105 is 501717111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104611984 + 100007105121 = 10228^2 + 316239^2 .

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 100111717105 - 2¹ = 100111717103 is a prime.

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 100111717105.

It is not an unprimeable number, because it can be changed into a prime (100111717103) 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, 137138974 + ... + 137139703.

It is an arithmetic number, because the mean of its divisors is an integer number (15222466629).

Almost surely, 2^100111717105 is an apocalyptic number.

It is an amenable number.

100111717105 is a deficient number, since it is larger than the sum of its proper divisors (21668015927).

100111717105 is an equidigital number, since it uses as much as digits as its factorization.

100111717105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274278755.

The product of its (nonzero) digits is 245, while the sum is 25.

Adding to 100111717105 its reverse (501717111001), we get a palindrome (601828828106).

It can be divided in two parts, 100111 and 717105, that added together give a square (817216 = 904²).

The spelling of 100111717105 in words is "one hundred billion, one hundred eleven million, seven hundred seventeen thousand, one hundred five".