105304240917864 has 64 divisors (see below), whose sum is σ = 295527365750400. Its totient is φ = 34739543388672.

The previous prime is 105304240917833. The next prime is 105304240917871. The reversal of 105304240917864 is 468719042403501.

105304240917864 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 4 + 2 + 409 + 178 + 64 = 666.

It is a super-2 number, since 2×105304240917864² (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 a self number, because there is not a number n which added to its sum of digits gives 105304240917864.

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, 2512966852 + ... + 2513008755.

It is an arithmetic number, because the mean of its divisors is an integer number (4617615089850).

It is a 1-persistent number, because it is pandigital, but 2⋅105304240917864 = 210608481835728 is not.

Almost surely, 2^{105304240917864} is an apocalyptic number.

It is an amenable number.

105304240917864 is an abundant number, since it is smaller than the sum of its proper divisors (190223124832536).

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

105304240917864 is a wasteful number, since it uses less digits than its factorization.

105304240917864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025975719 (or 5025975709 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 105304240917864 in words is "one hundred five trillion, three hundred four billion, two hundred forty million, nine hundred seventeen thousand, eight hundred sixty-four".