10107863627353 has 2 divisors, whose sum is σ = 10107863627354. Its totient is φ = 10107863627352.

The previous prime is 10107863627263. The next prime is 10107863627401. The reversal of 10107863627353 is 35372636870101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10097732802249 + 10130825104 = 3177693^2 + 100652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10107863627353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10107863627353.

It is not a weakly prime, because it can be changed into another prime (10107863697353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053931813676 + 5053931813677.

It is an arithmetic number, because the mean of its divisors is an integer number (5053931813677).

Almost surely, 2^{10107863627353} is an apocalyptic number.

It is an amenable number.

10107863627353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10107863627353 is an equidigital number, since it uses as much as digits as its factorization.

10107863627353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 10107863627353 in words is "ten trillion, one hundred seven billion, eight hundred sixty-three million, six hundred twenty-seven thousand, three hundred fifty-three".