105630512501 has 2 divisors, whose sum is σ = 105630512502. Its totient is φ = 105630512500.

The previous prime is 105630512479. The next prime is 105630512527. The reversal of 105630512501 is 105215036501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96829258276 + 8801254225 = 311174^2 + 93815^2 .

It is a cyclic number.

It is not a de Polignac number, because 105630512501 - 2¹⁸ = 105630250357 is a prime.

It is a super-2 number, since 2×105630512501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105630512531) 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, 52815256250 + 52815256251.

It is an arithmetic number, because the mean of its divisors is an integer number (52815256251).

Almost surely, 2^105630512501 is an apocalyptic number.

It is an amenable number.

105630512501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105630512501 is an equidigital number, since it uses as much as digits as its factorization.

105630512501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105630512501 in words is "one hundred five billion, six hundred thirty million, five hundred twelve thousand, five hundred one".