105414131203991 has 2 divisors, whose sum is σ = 105414131203992. Its totient is φ = 105414131203990.

The previous prime is 105414131203963. The next prime is 105414131204099. The reversal of 105414131203991 is 199302131414501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105414131203991 is a prime.

It is a super-2 number, since 2×105414131203991² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105414131200991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707065601995 + 52707065601996.

It is an arithmetic number, because the mean of its divisors is an integer number (52707065601996).

Almost surely, 2^{105414131203991} is an apocalyptic number.

105414131203991 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414131203991 is an equidigital number, since it uses as much as digits as its factorization.

105414131203991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 105414131203991 in words is "one hundred five trillion, four hundred fourteen billion, one hundred thirty-one million, two hundred three thousand, nine hundred ninety-one".