105718334464512 has 3840 divisors, whose sum is σ = 443704875356160. Its totient is φ = 24443132313600.

The previous prime is 105718334464493. The next prime is 105718334464543. The reversal of 105718334464512 is 215464433817501.

105718334464512 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 1 + 83 + 3 + 4 + 46 + 4 + 512 = 666.

It is a super-2 number, since 2×105718334464512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 381654636918 + ... + 381654637194.

It is an arithmetic number, because the mean of its divisors is an integer number (115548144624).

Almost surely, 2^{105718334464512} is an apocalyptic number.

105718334464512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105718334464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221852437678080).

105718334464512 is an abundant number, since it is smaller than the sum of its proper divisors (337986540891648).

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

105718334464512 is a wasteful number, since it uses less digits than its factorization.

105718334464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 105718334464512 in words is "one hundred five trillion, seven hundred eighteen billion, three hundred thirty-four million, four hundred sixty-four thousand, five hundred twelve".