105481451565 has 72 divisors (see below), whose sum is σ = 214878114360. Its totient is φ = 47722881024.

The previous prime is 105481451563. The next prime is 105481451627. The reversal of 105481451565 is 565154184501.

105481451565 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 81 + 4 + 5 + 1 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 662856516 + 104818595049 = 25746^2 + 323757^2 .

It is not a de Polignac number, because 105481451565 - 2¹ = 105481451563 is a prime.

It is a super-2 number, since 2×105481451565² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105481451565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105481451563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32700 + ... + 460469.

It is an arithmetic number, because the mean of its divisors is an integer number (2984418255).

Almost surely, 2^105481451565 is an apocalyptic number.

105481451565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105481451565 is an abundant number, since it is smaller than the sum of its proper divisors (109396662795).

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

105481451565 is a wasteful number, since it uses less digits than its factorization.

105481451565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493291 (or 493281 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 105481451565 in words is "one hundred five billion, four hundred eighty-one million, four hundred fifty-one thousand, five hundred sixty-five".