106216541521 has 2 divisors, whose sum is σ = 106216541522. Its totient is φ = 106216541520.

The previous prime is 106216541489. The next prime is 106216541531. The reversal of 106216541521 is 125145612601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77542199296 + 28674342225 = 278464^2 + 169335^2 .

It is an emirp because it is prime and its reverse (125145612601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106216541521 - 2⁵ = 106216541489 is a prime.

It is a super-2 number, since 2×106216541521² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106216541531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53108270760 + 53108270761.

It is an arithmetic number, because the mean of its divisors is an integer number (53108270761).

Almost surely, 2^106216541521 is an apocalyptic number.

It is an amenable number.

106216541521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106216541521 is an equidigital number, since it uses as much as digits as its factorization.

106216541521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 106216541521 in words is "one hundred six billion, two hundred sixteen million, five hundred forty-one thousand, five hundred twenty-one".