105116533 has 2 divisors, whose sum is σ = 105116534. Its totient is φ = 105116532.

The previous prime is 105116527. The next prime is 105116537. The reversal of 105116533 is 335611501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87198244 + 17918289 = 9338^2 + 4233^2 .

It is a cyclic number.

It is not a de Polignac number, because 105116533 - 2⁹ = 105116021 is a prime.

It is a super-2 number, since 2×105116533² = 22098971019880178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116498 and 105116507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105116537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558266 + 52558267.

It is an arithmetic number, because the mean of its divisors is an integer number (52558267).

Almost surely, 2^105116533 is an apocalyptic number.

It is an amenable number.

105116533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116533 is an equidigital number, since it uses as much as digits as its factorization.

105116533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 105116533 is about 10252.6354172964. The cubic root of 105116533 is about 471.9438627217.

The spelling of 105116533 in words is "one hundred five million, one hundred sixteen thousand, five hundred thirty-three".