105535166291 has 2 divisors, whose sum is σ = 105535166292. Its totient is φ = 105535166290.

The previous prime is 105535166279. The next prime is 105535166357. The reversal of 105535166291 is 192661535501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105535166291 is a prime.

It is a super-2 number, since 2×105535166291² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105535166591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767583145 + 52767583146.

It is an arithmetic number, because the mean of its divisors is an integer number (52767583146).

Almost surely, 2^105535166291 is an apocalyptic number.

105535166291 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535166291 is an equidigital number, since it uses as much as digits as its factorization.

105535166291 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243000, while the sum is 44.

The spelling of 105535166291 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, two hundred ninety-one".