404221101145105 has 16 divisors (see below), whose sum is σ = 513639027331920. Its totient is φ = 304330740037632.

The previous prime is 404221101145079. The next prime is 404221101145117. The reversal of 404221101145105 is 501541101122404.

It can be written as a sum of positive squares in 8 ways, for example, as 326507102464 + 403894594042641 = 571408^2 + 20097129^2 .

It is a cyclic number.

It is not a de Polignac number, because 404221101145105 - 2⁵ = 404221101145073 is a prime.

It is a super-2 number, since 2×404221101145105² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186191070 + ... + 188349559.

It is an arithmetic number, because the mean of its divisors is an integer number (32102439208245).

Almost surely, 2^{404221101145105} is an apocalyptic number.

It is an amenable number.

404221101145105 is a deficient number, since it is larger than the sum of its proper divisors (109417926186815).

404221101145105 is a wasteful number, since it uses less digits than its factorization.

404221101145105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374553348.

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 404221101145105 its reverse (501541101122404), we get a palindrome (905762202267509).

The spelling of 404221101145105 in words is "four hundred four trillion, two hundred twenty-one billion, one hundred one million, one hundred forty-five thousand, one hundred five".