105610501013 has 2 divisors, whose sum is σ = 105610501014. Its totient is φ = 105610501012.

The previous prime is 105610501001. The next prime is 105610501019. The reversal of 105610501013 is 310105016501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104288305969 + 1322195044 = 322937^2 + 36362^2 .

It is a cyclic number.

It is not a de Polignac number, because 105610501013 - 2⁴ = 105610500997 is a prime.

It is a super-2 number, since 2×105610501013² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105610501013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105610501019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805250506 + 52805250507.

It is an arithmetic number, because the mean of its divisors is an integer number (52805250507).

Almost surely, 2^105610501013 is an apocalyptic number.

It is an amenable number.

105610501013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610501013 is an equidigital number, since it uses as much as digits as its factorization.

105610501013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 105610501013 its reverse (310105016501), we get a palindrome (415715517514).

The spelling of 105610501013 in words is "one hundred five billion, six hundred ten million, five hundred one thousand, thirteen".