105930240 has 160 divisors (see below), whose sum is σ = 365039136. Its totient is φ = 26050560.

The previous prime is 105930239. The next prime is 105930259. The reversal of 105930240 is 42039501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×105930240² = 22442431492915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105930240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99310 + ... + 100370.

Almost surely, 2^105930240 is an apocalyptic number.

105930240 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 105930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182519568).

105930240 is an abundant number, since it is smaller than the sum of its proper divisors (259108896).

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

105930240 is a wasteful number, since it uses less digits than its factorization.

105930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105930240 is about 10292.2417383192. The cubic root of 105930240 is about 473.1585062654.

Adding to 105930240 its reverse (42039501), we get a palindrome (147969741).

The spelling of 105930240 in words is "one hundred five million, nine hundred thirty thousand, two hundred forty".