106264441 has 2 divisors, whose sum is σ = 106264442. Its totient is φ = 106264440.

The previous prime is 106264429. The next prime is 106264447. The reversal of 106264441 is 144462601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104468841 + 1795600 = 10221^2 + 1340^2 .

It is a cyclic number.

It is not a de Polignac number, because 106264441 - 2⁹ = 106263929 is a prime.

It is a super-2 number, since 2×106264441² = 22584262842084962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106264447) 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, 53132220 + 53132221.

It is an arithmetic number, because the mean of its divisors is an integer number (53132221).

Almost surely, 2^106264441 is an apocalyptic number.

It is an amenable number.

106264441 is a deficient number, since it is larger than the sum of its proper divisors (1).

106264441 is an equidigital number, since it uses as much as digits as its factorization.

106264441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 106264441 is about 10308.4645316361. The cubic root of 106264441 is about 473.6555756610.

The spelling of 106264441 in words is "one hundred six million, two hundred sixty-four thousand, four hundred forty-one".