105222202349973 has 8 divisors (see below), whose sum is σ = 142943369230368. Its totient is φ = 68824585184784.

The previous prime is 105222202349941. The next prime is 105222202350037. The reversal of 105222202349973 is 379943202222501.

It is a happy number.

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

It is not a de Polignac number, because 105222202349973 - 2⁵ = 105222202349941 is a prime.

It is a super-2 number, since 2×105222202349973² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105222202341973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330887428615 + ... + 330887428932.

It is an arithmetic number, because the mean of its divisors is an integer number (17867921153796).

Almost surely, 2^{105222202349973} is an apocalyptic number.

It is an amenable number.

105222202349973 is a deficient number, since it is larger than the sum of its proper divisors (37721166880395).

105222202349973 is an equidigital number, since it uses as much as digits as its factorization.

105222202349973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661774857603.

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 105222202349973 in words is "one hundred five trillion, two hundred twenty-two billion, two hundred two million, three hundred forty-nine thousand, nine hundred seventy-three".