105150223212049 has 8 divisors (see below), whose sum is σ = 105328820862720. Its totient is φ = 104971728180000.

The previous prime is 105150223212007. The next prime is 105150223212119. The reversal of 105150223212049 is 940212322051501.

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 105150223212049 - 2²⁹ = 105149686341137 is a prime.

It is a super-2 number, since 2×105150223212049² (a number of 29 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 = 105150223211999 and 105150223212017.

It is not an unprimeable number, because it can be changed into a prime (105150223218049) 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, 23603437 + ... + 27702394.

It is an arithmetic number, because the mean of its divisors is an integer number (13166102607840).

Almost surely, 2^{105150223212049} is an apocalyptic number.

It is an amenable number.

105150223212049 is a deficient number, since it is larger than the sum of its proper divisors (178597650671).

105150223212049 is an equidigital number, since it uses as much as digits as its factorization.

105150223212049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51309311.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 105150223212049 in words is "one hundred five trillion, one hundred fifty billion, two hundred twenty-three million, two hundred twelve thousand, forty-nine".