105305540 has 12 divisors (see below), whose sum is σ = 221141676. Its totient is φ = 42122208.

The previous prime is 105305537. The next prime is 105305549. The reversal of 105305540 is 45503501.

It can be written as a sum of positive squares in 2 ways, for example, as 10982596 + 94322944 = 3314^2 + 9712^2 .

It is a super-4 number, since 4×105305540⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105305549) 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 3 ways as a sum of consecutive naturals, for example, 2632619 + ... + 2632658.

It is an arithmetic number, because the mean of its divisors is an integer number (18428473).

Almost surely, 2^105305540 is an apocalyptic number.

105305540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105305540 is an abundant number, since it is smaller than the sum of its proper divisors (115836136).

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

105305540 is a wasteful number, since it uses less digits than its factorization.

105305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265286 (or 5265284 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 105305540 is about 10261.8487613100. The cubic root of 105305540 is about 472.2265562283.

The spelling of 105305540 in words is "one hundred five million, three hundred five thousand, five hundred forty".