106516225201 has 2 divisors, whose sum is σ = 106516225202. Its totient is φ = 106516225200.

The previous prime is 106516225199. The next prime is 106516225217. The reversal of 106516225201 is 102522615601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95406854400 + 11109370801 = 308880^2 + 105401^2 .

It is a cyclic number.

It is not a de Polignac number, because 106516225201 - 2¹ = 106516225199 is a prime.

It is a super-2 number, since 2×106516225201² (a number of 23 digits) contains 22 as substring.

Together with 106516225199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106516225241) 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 as a sum of consecutive naturals, namely, 53258112600 + 53258112601.

It is an arithmetic number, because the mean of its divisors is an integer number (53258112601).

Almost surely, 2^106516225201 is an apocalyptic number.

It is an amenable number.

106516225201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106516225201 is an equidigital number, since it uses as much as digits as its factorization.

106516225201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 106516225201 in words is "one hundred six billion, five hundred sixteen million, two hundred twenty-five thousand, two hundred one".