105321645 has 72 divisors (see below), whose sum is σ = 215822880. Its totient is φ = 47099520.

The previous prime is 105321641. The next prime is 105321673. The reversal of 105321645 is 546123501.

105321645 is a `hidden beast` number, since 10 + 5 + 3 + 2 + 1 + 645 = 666.

It is not a de Polignac number, because 105321645 - 2² = 105321641 is a prime.

It is a super-3 number, since 3×105321645³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105321641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83026 + ... + 84284.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^105321645 is an apocalyptic number.

105321645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105321645 is an abundant number, since it is smaller than the sum of its proper divisors (110501235).

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

105321645 is a wasteful number, since it uses less digits than its factorization.

105321645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105321645 is about 10262.6334339681. The cubic root of 105321645 is about 472.2506284693.

The spelling of 105321645 in words is "one hundred five million, three hundred twenty-one thousand, six hundred forty-five".