105253622333673 has 32 divisors (see below), whose sum is σ = 154943322992640. Its totient is φ = 63020456293440.

The previous prime is 105253622333641. The next prime is 105253622333677. The reversal of 105253622333673 is 376333226352501.

It is not a de Polignac number, because 105253622333673 - 2⁵ = 105253622333641 is a prime.

It is a super-2 number, since 2×105253622333673² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105253622333677) 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 31 ways as a sum of consecutive naturals, for example, 180562440 + ... + 181144422.

It is an arithmetic number, because the mean of its divisors is an integer number (4841978843520).

Almost surely, 2^{105253622333673} is an apocalyptic number.

It is an amenable number.

105253622333673 is a deficient number, since it is larger than the sum of its proper divisors (49689700658967).

105253622333673 is a wasteful number, since it uses less digits than its factorization.

105253622333673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648109.

The product of its (nonzero) digits is 12247200, while the sum is 51.

The spelling of 105253622333673 in words is "one hundred five trillion, two hundred fifty-three billion, six hundred twenty-two million, three hundred thirty-three thousand, six hundred seventy-three".