105434864053 has 2 divisors, whose sum is σ = 105434864054. Its totient is φ = 105434864052.

The previous prime is 105434864039. The next prime is 105434864081. The reversal of 105434864053 is 350468434501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89219897809 + 16214966244 = 298697^2 + 127338^2 .

It is a cyclic number.

It is not a de Polignac number, because 105434864053 - 2¹³ = 105434855861 is a prime.

It is a super-3 number, since 3×105434864053³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105434864023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717432026 + 52717432027.

It is an arithmetic number, because the mean of its divisors is an integer number (52717432027).

Almost surely, 2^105434864053 is an apocalyptic number.

It is an amenable number.

105434864053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105434864053 is an equidigital number, since it uses as much as digits as its factorization.

105434864053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 105434864053 in words is "one hundred five billion, four hundred thirty-four million, eight hundred sixty-four thousand, fifty-three".