105443025212340 has 144 divisors (see below), whose sum is σ = 327652638440400. Its totient is φ = 27431684904960.

The previous prime is 105443025212249. The next prime is 105443025212341. The reversal of 105443025212340 is 43212520344501.

It is a happy number.

105443025212340 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 302 + 5 + 2 + 1 + 2 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43943614484004 + 61499410728336 = 6628998^2 + 7842156^2 .

It is a super-2 number, since 2×105443025212340² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105443025212295 and 105443025212304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105443025212341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367063086 + ... + 367350234.

It is an arithmetic number, because the mean of its divisors is an integer number (2275365544725).

Almost surely, 2^{105443025212340} is an apocalyptic number.

105443025212340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105443025212340 is an abundant number, since it is smaller than the sum of its proper divisors (222209613228060).

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

105443025212340 is a wasteful number, since it uses less digits than its factorization.

105443025212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336962 (or 336957 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 105443025212340 its reverse (43212520344501), we get a palindrome (148655545556841).

The spelling of 105443025212340 in words is "one hundred five trillion, four hundred forty-three billion, twenty-five million, two hundred twelve thousand, three hundred forty".