105513414830688 has 96 divisors (see below), whose sum is σ = 285525622166400. Its totient is φ = 34101386781696.

The previous prime is 105513414830647. The next prime is 105513414830713. The reversal of 105513414830688 is 886038414315501.

It is a happy number.

105513414830688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105513414830688² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 127180918 + ... + 128007861.

It is an arithmetic number, because the mean of its divisors is an integer number (2974225230900).

Almost surely, 2^{105513414830688} is an apocalyptic number.

It is an amenable number.

105513414830688 is an abundant number, since it is smaller than the sum of its proper divisors (180012207335712).

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

105513414830688 is a wasteful number, since it uses less digits than its factorization.

105513414830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255188924 (or 255188916 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 105513414830688 in words is "one hundred five trillion, five hundred thirteen billion, four hundred fourteen million, eight hundred thirty thousand, six hundred eighty-eight".