105368386464 has 96 divisors (see below), whose sum is σ = 335263078080. Its totient is φ = 31929811200.

The previous prime is 105368386447. The next prime is 105368386481. The reversal of 105368386464 is 464683863501.

105368386464 is a `hidden beast` number, since 10 + 536 + 8 + 38 + 6 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (105368386447) and next prime (105368386481).

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

It is a super-2 number, since 2×105368386464² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105368386464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5533867 + ... + 5552874.

It is an arithmetic number, because the mean of its divisors is an integer number (3492323730).

Almost surely, 2^105368386464 is an apocalyptic number.

It is an amenable number.

105368386464 is an abundant number, since it is smaller than the sum of its proper divisors (229894691616).

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

105368386464 is a wasteful number, since it uses less digits than its factorization.

105368386464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11086771 (or 11086757 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 105368386464 in words is "one hundred five billion, three hundred sixty-eight million, three hundred eighty-six thousand, four hundred sixty-four".