105404340 has 96 divisors (see below), whose sum is σ = 309980160. Its totient is φ = 26726400.

The previous prime is 105404293. The next prime is 105404347. The reversal of 105404340 is 43404501.

It is a super-3 number, since 3×105404340³ (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 (105404347) 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 31 ways as a sum of consecutive naturals, for example, 112996 + ... + 113924.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^105404340 is an apocalyptic number.

105404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

105404340 is an abundant number, since it is smaller than the sum of its proper divisors (204575820).

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

105404340 is a wasteful number, since it uses less digits than its factorization.

105404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105404340 is about 10266.6615800853. The cubic root of 105404340 is about 472.3741945518.

Adding to 105404340 its reverse (43404501), we get a palindrome (148808841).

The spelling of 105404340 in words is "one hundred five million, four hundred four thousand, three hundred forty".