105022210033 has 8 divisors (see below), whose sum is σ = 116157621608. Its totient is φ = 94323481344.

The previous prime is 105022210019. The next prime is 105022210039. The reversal of 105022210033 is 330012220501.

It can be written as a sum of positive squares in 4 ways, for example, as 39428853489 + 65593356544 = 198567^2 + 256112^2 .

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 105022210033 - 2⁹ = 105022209521 is a prime.

It is a super-2 number, since 2×105022210033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105022210039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109170216 + ... + 109171177.

It is an arithmetic number, because the mean of its divisors is an integer number (14519702701).

Almost surely, 2^105022210033 is an apocalyptic number.

105022210033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105022210033 is a deficient number, since it is larger than the sum of its proper divisors (11135411575).

105022210033 is a wasteful number, since it uses less digits than its factorization.

105022210033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218341443.

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 105022210033 its reverse (330012220501), we get a palindrome (435034430534).

The spelling of 105022210033 in words is "one hundred five billion, twenty-two million, two hundred ten thousand, thirty-three".