105306117053 has 2 divisors, whose sum is σ = 105306117054. Its totient is φ = 105306117052.

The previous prime is 105306117031. The next prime is 105306117073. The reversal of 105306117053 is 350711603501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103119338884 + 2186778169 = 321122^2 + 46763^2 .

It is a cyclic number.

It is not a de Polignac number, because 105306117053 - 2¹⁸ = 105305854909 is a prime.

It is a super-3 number, since 3×105306117053³ (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 (105306117013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52653058526 + 52653058527.

It is an arithmetic number, because the mean of its divisors is an integer number (52653058527).

Almost surely, 2^105306117053 is an apocalyptic number.

It is an amenable number.

105306117053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105306117053 is an equidigital number, since it uses as much as digits as its factorization.

105306117053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The spelling of 105306117053 in words is "one hundred five billion, three hundred six million, one hundred seventeen thousand, fifty-three".