105543840 has 192 divisors, whose sum is σ = 353590272. Its totient is φ = 26419200.

The previous prime is 105543821. The next prime is 105543859. The reversal of 105543840 is 48345501.

It is an interprime number because it is at equal distance from previous prime (105543821) and next prime (105543859).

It is a super-2 number, since 2×105543840² = 22279004323891200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105543798 and 105543807.

It is a congruent number.

It is an unprimeable number.

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, 609994 + ... + 610166.

It is an arithmetic number, because the mean of its divisors is an integer number (1841616).

Almost surely, 2^105543840 is an apocalyptic number.

105543840 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 105543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176795136).

105543840 is an abundant number, since it is smaller than the sum of its proper divisors (248046432).

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

105543840 is a wasteful number, since it uses less digits than its factorization.

105543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105543840 is about 10273.4531682390. The cubic root of 105543840 is about 472.5824944847.

The spelling of 105543840 in words is "one hundred five million, five hundred forty-three thousand, eight hundred forty".