105224521013 has 8 divisors (see below), whose sum is σ = 108810040608. Its totient is φ = 101698266384.

The previous prime is 105224521007. The next prime is 105224521027. The reversal of 105224521013 is 310125422501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105224521013 - 2⁸ = 105224520757 is a prime.

It is a super-2 number, since 2×105224521013² (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 (105224521033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14812631 + ... + 14819732.

It is an arithmetic number, because the mean of its divisors is an integer number (13601255076).

Almost surely, 2^105224521013 is an apocalyptic number.

It is an amenable number.

105224521013 is a deficient number, since it is larger than the sum of its proper divisors (3585519595).

105224521013 is an equidigital number, since it uses as much as digits as its factorization.

105224521013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29632483.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 105224521013 its reverse (310125422501), we get a palindrome (415349943514).

The spelling of 105224521013 in words is "one hundred five billion, two hundred twenty-four million, five hundred twenty-one thousand, thirteen".