105100882693 has 2 divisors, whose sum is σ = 105100882694. Its totient is φ = 105100882692.

The previous prime is 105100882597. The next prime is 105100882703. The reversal of 105100882693 is 396288001501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104239871044 + 861011649 = 322862^2 + 29343^2 .

It is a cyclic number.

It is not a de Polignac number, because 105100882693 - 2²¹ = 105098785541 is a prime.

It is a super-2 number, since 2×105100882693² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100882993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550441346 + 52550441347.

It is an arithmetic number, because the mean of its divisors is an integer number (52550441347).

Almost surely, 2^105100882693 is an apocalyptic number.

It is an amenable number.

105100882693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100882693 is an equidigital number, since it uses as much as digits as its factorization.

105100882693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 105100882693 in words is "one hundred five billion, one hundred million, eight hundred eighty-two thousand, six hundred ninety-three".