105701954598991 has 2 divisors, whose sum is σ = 105701954598992. Its totient is φ = 105701954598990.

The previous prime is 105701954598983. The next prime is 105701954598997. The reversal of 105701954598991 is 199895459107501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105701954598991 - 2³ = 105701954598983 is a prime.

It is a super-2 number, since 2×105701954598991² (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 (105701954598997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52850977299495 + 52850977299496.

It is an arithmetic number, because the mean of its divisors is an integer number (52850977299496).

Almost surely, 2^{105701954598991} is an apocalyptic number.

105701954598991 is a deficient number, since it is larger than the sum of its proper divisors (1).

105701954598991 is an equidigital number, since it uses as much as digits as its factorization.

105701954598991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 183708000, while the sum is 73.

The spelling of 105701954598991 in words is "one hundred five trillion, seven hundred one billion, nine hundred fifty-four million, five hundred ninety-eight thousand, nine hundred ninety-one".