105243655220 has 192 divisors, whose sum is σ = 257877043200. Its totient is φ = 35718144000.

The previous prime is 105243655219. The next prime is 105243655249. The reversal of 105243655220 is 22556342501.

It is a super-2 number, since 2×105243655220² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24884066 + ... + 24888294.

It is an arithmetic number, because the mean of its divisors is an integer number (1343109600).

Almost surely, 2^105243655220 is an apocalyptic number.

105243655220 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 105243655220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128938521600).

105243655220 is an abundant number, since it is smaller than the sum of its proper divisors (152633387980).

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

105243655220 is a wasteful number, since it uses less digits than its factorization.

105243655220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 105243655220 its reverse (22556342501), we get a palindrome (127799997721).

The spelling of 105243655220 in words is "one hundred five billion, two hundred forty-three million, six hundred fifty-five thousand, two hundred twenty".