105535655279 has 2 divisors, whose sum is σ = 105535655280. Its totient is φ = 105535655278.

The previous prime is 105535655237. The next prime is 105535655317. The reversal of 105535655279 is 972556535501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105535655279 - 2²⁴ = 105518878063 is a prime.

It is a super-2 number, since 2×105535655279² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105535655279.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105535655879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767827639 + 52767827640.

It is an arithmetic number, because the mean of its divisors is an integer number (52767827640).

Almost surely, 2^105535655279 is an apocalyptic number.

105535655279 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535655279 is an equidigital number, since it uses as much as digits as its factorization.

105535655279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7087500, while the sum is 53.

The spelling of 105535655279 in words is "one hundred five billion, five hundred thirty-five million, six hundred fifty-five thousand, two hundred seventy-nine".