105051013 has 2 divisors, whose sum is σ = 105051014. Its totient is φ = 105051012.

The previous prime is 105050999. The next prime is 105051017. The reversal of 105051013 is 310150501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69505569 + 35545444 = 8337^2 + 5962^2 .

It is a cyclic number.

It is not a de Polignac number, because 105051013 - 2²¹ = 102953861 is a prime.

It is a super-2 number, since 2×105051013² = 22071430664652338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105051017) 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, 52525506 + 52525507.

It is an arithmetic number, because the mean of its divisors is an integer number (52525507).

Almost surely, 2^105051013 is an apocalyptic number.

It is an amenable number.

105051013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105051013 is an equidigital number, since it uses as much as digits as its factorization.

105051013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 105051013 is about 10249.4396432195. The cubic root of 105051013 is about 471.8457868440.

The spelling of 105051013 in words is "one hundred five million, fifty-one thousand, thirteen".