105064920586368 has 72 divisors (see below), whose sum is σ = 302336254373205. Its totient is φ = 35021524228608.

The previous prime is 105064920586363. The next prime is 105064920586433. The reversal of 105064920586368 is 863685029460501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105064920586368 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 49 + 2 + 0 + 586 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86728094835264 + 18336825751104 = 9312792^2 + 4282152^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7247928.

It is a super-3 number, since 3×105064920586368³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105064920586363) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 347749546 + ... + 348051542.

Almost surely, 2^{105064920586368} is an apocalyptic number.

105064920586368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105064920586368 is an abundant number, since it is smaller than the sum of its proper divisors (197271333786837).

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

105064920586368 is an frugal number, since it uses more digits than its factorization.

105064920586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604014 (or 302002 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 105064920586368 in words is "one hundred five trillion, sixty-four billion, nine hundred twenty million, five hundred eighty-six thousand, three hundred sixty-eight".