105317334464 has 28 divisors (see below), whose sum is σ = 211634527200. Its totient is φ = 51992099328.

The previous prime is 105317334431. The next prime is 105317334511. The reversal of 105317334464 is 464433713501.

105317334464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105317334464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10410029 + ... + 10420140.

Almost surely, 2^105317334464 is an apocalyptic number.

It is an amenable number.

105317334464 is an abundant number, since it is smaller than the sum of its proper divisors (106317192736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105317334464 is an equidigital number, since it uses as much as digits as its factorization.

105317334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20830260 (or 20830250 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 105317334464 in words is "one hundred five billion, three hundred seventeen million, three hundred thirty-four thousand, four hundred sixty-four".