106000051050001 has 2 divisors, whose sum is σ = 106000051050002. Its totient is φ = 106000051050000.

The previous prime is 106000051049989. The next prime is 106000051050011. The reversal of 106000051050001 is 100050150000601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93738316241025 + 12261734808976 = 9681855^2 + 3501676^2 .

It is a cyclic number.

It is not a de Polignac number, because 106000051050001 - 2⁹ = 106000051049489 is a prime.

It is a super-2 number, since 2×106000051050001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106000051050011) 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, 53000025525000 + 53000025525001.

It is an arithmetic number, because the mean of its divisors is an integer number (53000025525001).

Almost surely, 2^{106000051050001} is an apocalyptic number.

It is an amenable number.

106000051050001 is a deficient number, since it is larger than the sum of its proper divisors (1).

106000051050001 is an equidigital number, since it uses as much as digits as its factorization.

106000051050001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 106000051050001 in words is "one hundred six trillion, fifty-one million, fifty thousand, one".