105840336 has 160 divisors (see below), whose sum is σ = 335692800. Its totient is φ = 28062720.

The previous prime is 105840331. The next prime is 105840347. The reversal of 105840336 is 633048501.

It is a super-2 number, since 2×105840336² = 22404353449185792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105840331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376516 + ... + 376796.

It is an arithmetic number, because the mean of its divisors is an integer number (2098080).

Almost surely, 2^105840336 is an apocalyptic number.

105840336 is a gapful number since it is divisible by the number (16) 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 105840336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167846400).

105840336 is an abundant number, since it is smaller than the sum of its proper divisors (229852464).

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

105840336 is a wasteful number, since it uses less digits than its factorization.

105840336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105840336 is about 10287.8732496080. The cubic root of 105840336 is about 473.0246103404.

Adding to 105840336 its reverse (633048501), we get a palindrome (738888837).

The spelling of 105840336 in words is "one hundred five million, eight hundred forty thousand, three hundred thirty-six".