105205404523321 has 24 divisors (see below), whose sum is σ = 112579459513224. Its totient is φ = 98281572238080.

The previous prime is 105205404523313. The next prime is 105205404523381. The reversal of 105205404523321 is 123325404502501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28245823502400 + 76959581020921 = 5314680^2 + 8772661^2 .

It is not a de Polignac number, because 105205404523321 - 2³ = 105205404523313 is a prime.

It is a super-2 number, since 2×105205404523321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105205404523381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121345255 + ... + 122209171.

It is an arithmetic number, because the mean of its divisors is an integer number (4690810813051).

Almost surely, 2^{105205404523321} is an apocalyptic number.

It is an amenable number.

105205404523321 is a deficient number, since it is larger than the sum of its proper divisors (7374054989903).

105205404523321 is an equidigital number, since it uses as much as digits as its factorization.

105205404523321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868649 (or 868630 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 105205404523321 in words is "one hundred five trillion, two hundred five billion, four hundred four million, five hundred twenty-three thousand, three hundred twenty-one".