100111516116505 has 8 divisors (see below), whose sum is σ = 120139033393224. Its totient is φ = 80085736857600.

The previous prime is 100111516116497. The next prime is 100111516116517. The reversal of 100111516116505 is 505611615111001.

It can be written as a sum of positive squares in 4 ways, for example, as 18455641776009 + 81655874340496 = 4296003^2 + 9036364^2 .

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

It is not a de Polignac number, because 100111516116505 - 2³ = 100111516116497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434377726 + ... + 434608135.

It is an arithmetic number, because the mean of its divisors is an integer number (15017379174153).

Almost surely, 2^{100111516116505} is an apocalyptic number.

It is an amenable number.

100111516116505 is a deficient number, since it is larger than the sum of its proper divisors (20027517276719).

100111516116505 is an equidigital number, since it uses as much as digits as its factorization.

100111516116505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869008907.

The product of its (nonzero) digits is 4500, while the sum is 34.

The spelling of 100111516116505 in words is "one hundred trillion, one hundred eleven billion, five hundred sixteen million, one hundred sixteen thousand, five hundred five".