106404040301 has 16 divisors (see below), whose sum is σ = 117897547824. Its totient is φ = 95392733184.

The previous prime is 106404040207. The next prime is 106404040321. The reversal of 106404040301 is 103040404601.

It can be written as a sum of positive squares in 8 ways, for example, as 7321369225 + 99082671076 = 85565^2 + 314774^2 .

It is a cyclic number.

It is not a de Polignac number, because 106404040301 - 2²² = 106399845997 is a prime.

It is a super-2 number, since 2×106404040301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106404040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69341 + ... + 466493.

It is an arithmetic number, because the mean of its divisors is an integer number (7368596739).

Almost surely, 2^106404040301 is an apocalyptic number.

It is an amenable number.

106404040301 is a deficient number, since it is larger than the sum of its proper divisors (11493507523).

106404040301 is a wasteful number, since it uses less digits than its factorization.

106404040301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397760.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 106404040301 its reverse (103040404601), we get a palindrome (209444444902).

The spelling of 106404040301 in words is "one hundred six billion, four hundred four million, forty thousand, three hundred one".