105553226441 has 8 divisors (see below), whose sum is σ = 117592454280. Its totient is φ = 94073962752.

The previous prime is 105553226419. The next prime is 105553226447. The reversal of 105553226441 is 144622355501.

It can be written as a sum of positive squares in 4 ways, for example, as 9951060025 + 95602166416 = 99755^2 + 309196^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105553226441 - 2³⁴ = 88373357257 is a prime.

It is a super-2 number, since 2×105553226441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105553226395 and 105553226404.

It is not an unprimeable number, because it can be changed into a prime (105553226447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139990640 + ... + 139991393.

It is an arithmetic number, because the mean of its divisors is an integer number (14699056785).

Almost surely, 2^105553226441 is an apocalyptic number.

It is an amenable number.

105553226441 is a deficient number, since it is larger than the sum of its proper divisors (12039227839).

105553226441 is a wasteful number, since it uses less digits than its factorization.

105553226441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279982075.

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 105553226441 in words is "one hundred five billion, five hundred fifty-three million, two hundred twenty-six thousand, four hundred forty-one".