107117507753 has 2 divisors, whose sum is σ = 107117507754. Its totient is φ = 107117507752.

The previous prime is 107117507747. The next prime is 107117507797. The reversal of 107117507753 is 357705711701.

It is an a-pointer prime, because the next prime (107117507797) can be obtained adding 107117507753 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94967516224 + 12149991529 = 308168^2 + 110227^2 .

It is a cyclic number.

It is not a de Polignac number, because 107117507753 - 2¹⁰ = 107117506729 is a prime.

It is a super-2 number, since 2×107117507753² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107117507713) 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, 53558753876 + 53558753877.

It is an arithmetic number, because the mean of its divisors is an integer number (53558753877).

Almost surely, 2^107117507753 is an apocalyptic number.

It is an amenable number.

107117507753 is a deficient number, since it is larger than the sum of its proper divisors (1).

107117507753 is an equidigital number, since it uses as much as digits as its factorization.

107117507753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180075, while the sum is 44.

The spelling of 107117507753 in words is "one hundred seven billion, one hundred seventeen million, five hundred seven thousand, seven hundred fifty-three".