105840000 has 480 divisors, whose sum is σ = 454073400. Its totient is φ = 24192000.

The previous prime is 105839969. The next prime is 105840001. The reversal of 105840000 is 48501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105840000² = 22404211200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105840001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15119997 + ... + 15120003.

Almost surely, 2^105840000 is an apocalyptic number.

105840000 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 105840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227036700).

105840000 is an abundant number, since it is smaller than the sum of its proper divisors (348233400).

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

105840000 is an frugal number, since it uses more digits than its factorization.

105840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105840000 is about 10287.8569196893. The cubic root of 105840000 is about 473.0241097863.

Adding to 105840000 its reverse (48501), we get a palindrome (105888501).

The spelling of 105840000 in words is "one hundred five million, eight hundred forty thousand".