106405542721 has 2 divisors, whose sum is σ = 106405542722. Its totient is φ = 106405542720.

The previous prime is 106405542671. The next prime is 106405542731. The reversal of 106405542721 is 127245504601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93857062321 + 12548480400 = 306361^2 + 112020^2 .

It is a cyclic number.

It is not a de Polignac number, because 106405542721 - 2⁹ = 106405542209 is a prime.

It is a super-2 number, since 2×106405542721² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106405542731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53202771360 + 53202771361.

It is an arithmetic number, because the mean of its divisors is an integer number (53202771361).

Almost surely, 2^106405542721 is an apocalyptic number.

It is an amenable number.

106405542721 is a deficient number, since it is larger than the sum of its proper divisors (1).

106405542721 is an equidigital number, since it uses as much as digits as its factorization.

106405542721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 106405542721 in words is "one hundred six billion, four hundred five million, five hundred forty-two thousand, seven hundred twenty-one".