105221252333 has 8 divisors (see below), whose sum is σ = 105351270528. Its totient is φ = 105091313184.

The previous prime is 105221252329. The next prime is 105221252417. The reversal of 105221252333 is 333252122501.

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 105221252333 - 2² = 105221252329 is a prime.

It is a super-2 number, since 2×105221252333² (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 = 105221252296 and 105221252305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221222333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2905385 + ... + 2941377.

It is an arithmetic number, because the mean of its divisors is an integer number (13168908816).

Almost surely, 2^105221252333 is an apocalyptic number.

It is an amenable number.

105221252333 is a deficient number, since it is larger than the sum of its proper divisors (130018195).

105221252333 is a wasteful number, since it uses less digits than its factorization.

105221252333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39523.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 105221252333 its reverse (333252122501), we get a palindrome (438473374834).

The spelling of 105221252333 in words is "one hundred five billion, two hundred twenty-one million, two hundred fifty-two thousand, three hundred thirty-three".