105630064321 has 8 divisors (see below), whose sum is σ = 106685951400. Its totient is φ = 104574374400.

The previous prime is 105630064313. The next prime is 105630064357. The reversal of 105630064321 is 123460036501.

It can be written as a sum of positive squares in 4 ways, for example, as 70777281600 + 34852782721 = 266040^2 + 186689^2 .

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 105630064321 - 2³ = 105630064313 is a prime.

It is a super-2 number, since 2×105630064321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105630064301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179825 + ... + 1266193.

It is an arithmetic number, because the mean of its divisors is an integer number (13335743925).

Almost surely, 2^105630064321 is an apocalyptic number.

It is an amenable number.

105630064321 is a deficient number, since it is larger than the sum of its proper divisors (1055887079).

105630064321 is a wasteful number, since it uses less digits than its factorization.

105630064321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98579.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 105630064321 in words is "one hundred five billion, six hundred thirty million, sixty-four thousand, three hundred twenty-one".