105003646479313 has 2 divisors, whose sum is σ = 105003646479314. Its totient is φ = 105003646479312.

The previous prime is 105003646479293. The next prime is 105003646479419. The reversal of 105003646479313 is 313974646300501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103437687066624 + 1565959412689 = 10170432^2 + 1251383^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105003646479313 is a prime.

It is a super-2 number, since 2×105003646479313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105003646479713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52501823239656 + 52501823239657.

It is an arithmetic number, because the mean of its divisors is an integer number (52501823239657).

Almost surely, 2^{105003646479313} is an apocalyptic number.

It is an amenable number.

105003646479313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105003646479313 is an equidigital number, since it uses as much as digits as its factorization.

105003646479313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 105003646479313 in words is "one hundred five trillion, three billion, six hundred forty-six million, four hundred seventy-nine thousand, three hundred thirteen".