105486352560 has 120 divisors (see below), whose sum is σ = 361795861440. Its totient is φ = 27531181056.

The previous prime is 105486352501. The next prime is 105486352651. The reversal of 105486352560 is 65253684501.

105486352560 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 8 + 63 + 525 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×105486352560³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524765 + ... + 1592444.

It is an arithmetic number, because the mean of its divisors is an integer number (3014965512).

Almost surely, 2^105486352560 is an apocalyptic number.

105486352560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105486352560 is an abundant number, since it is smaller than the sum of its proper divisors (256309508880).

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

105486352560 is a wasteful number, since it uses less digits than its factorization.

105486352560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117275 (or 3117266 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 105486352560 in words is "one hundred five billion, four hundred eighty-six million, three hundred fifty-two thousand, five hundred sixty".