105210521013 has 16 divisors (see below), whose sum is σ = 152983819520. Its totient is φ = 63925377984.

The previous prime is 105210520993. The next prime is 105210521033. The reversal of 105210521013 is 310125012501.

It is an interprime number because it is at equal distance from previous prime (105210520993) and next prime (105210521033).

It is not a de Polignac number, because 105210521013 - 2⁸ = 105210520757 is a prime.

It is a super-2 number, since 2×105210521013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105210521033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17071006 + ... + 17077167.

It is an arithmetic number, because the mean of its divisors is an integer number (9561488720).

Almost surely, 2^105210521013 is an apocalyptic number.

105210521013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105210521013 is a deficient number, since it is larger than the sum of its proper divisors (47773298507).

105210521013 is a wasteful number, since it uses less digits than its factorization.

105210521013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34148268.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 105210521013 its reverse (310125012501), we get a palindrome (415335533514).

The spelling of 105210521013 in words is "one hundred five billion, two hundred ten million, five hundred twenty-one thousand, thirteen".