105023222320501 has 16 divisors (see below), whose sum is σ = 106847033178240. Its totient is φ = 103207098646080.

The previous prime is 105023222320487. The next prime is 105023222320519.

105023222320501 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 105023222320501 - 2⁵ = 105023222320469 is a prime.

It is a super-2 number, since 2×105023222320501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105023222320501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105023222320201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92789055 + ... + 93914083.

It is an arithmetic number, because the mean of its divisors is an integer number (6677939573640).

Almost surely, 2^{105023222320501} is an apocalyptic number.

It is an amenable number.

105023222320501 is a deficient number, since it is larger than the sum of its proper divisors (1823810857739).

105023222320501 is a wasteful number, since it uses less digits than its factorization.

105023222320501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128444.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 105023222320501 in words is "one hundred five trillion, twenty-three billion, two hundred twenty-two million, three hundred twenty thousand, five hundred one".