105711953598997 has 2 divisors, whose sum is σ = 105711953598998. Its totient is φ = 105711953598996.

The previous prime is 105711953598983. The next prime is 105711953599067. The reversal of 105711953598997 is 799895359117501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95682026594961 + 10029927004036 = 9781719^2 + 3167006^2 .

It is a cyclic number.

It is not a de Polignac number, because 105711953598997 - 2¹⁵ = 105711953566229 is a prime.

It is a super-2 number, since 2×105711953598997² (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 (105711953298997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52855976799498 + 52855976799499.

It is an arithmetic number, because the mean of its divisors is an integer number (52855976799499).

Almost surely, 2^{105711953598997} is an apocalyptic number.

It is an amenable number.

105711953598997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105711953598997 is an equidigital number, since it uses as much as digits as its factorization.

105711953598997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 964467000, while the sum is 79.

The spelling of 105711953598997 in words is "one hundred five trillion, seven hundred eleven billion, nine hundred fifty-three million, five hundred ninety-eight thousand, nine hundred ninety-seven".