105243840 has 224 divisors, whose sum is σ = 400263360. Its totient is φ = 25878528.

The previous prime is 105243839. The next prime is 105243841. The reversal of 105243840 is 48342501.

It is an interprime number because it is at equal distance from previous prime (105243839) and next prime (105243841).

It is a super-2 number, since 2×105243840² = 22152531715891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105243841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111852 + ... + 112788.

It is an arithmetic number, because the mean of its divisors is an integer number (1786890).

Almost surely, 2^105243840 is an apocalyptic number.

105243840 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 105243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200131680).

105243840 is an abundant number, since it is smaller than the sum of its proper divisors (295019520).

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

105243840 is a wasteful number, since it uses less digits than its factorization.

105243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105243840 is about 10258.8420399185. The cubic root of 105243840 is about 472.1343101450.

The spelling of 105243840 in words is "one hundred five million, two hundred forty-three thousand, eight hundred forty".