107100001104073 has 2 divisors, whose sum is σ = 107100001104074. Its totient is φ = 107100001104072.

The previous prime is 107100001104001. The next prime is 107100001104091. The reversal of 107100001104073 is 370401100001701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106765371249289 + 334629854784 = 10332733^2 + 578472^2 .

It is a cyclic number.

It is not a de Polignac number, because 107100001104073 - 2²⁹ = 107099464233161 is a prime.

It is a super-2 number, since 2×107100001104073² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107100001104373) 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, 53550000552036 + 53550000552037.

It is an arithmetic number, because the mean of its divisors is an integer number (53550000552037).

Almost surely, 2^{107100001104073} is an apocalyptic number.

It is an amenable number.

107100001104073 is a deficient number, since it is larger than the sum of its proper divisors (1).

107100001104073 is an equidigital number, since it uses as much as digits as its factorization.

107100001104073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

Adding to 107100001104073 its reverse (370401100001701), we get a palindrome (477501101105774).

The spelling of 107100001104073 in words is "one hundred seven trillion, one hundred billion, one million, one hundred four thousand, seventy-three".