105720100321 has 8 divisors (see below), whose sum is σ = 115376616288. Its totient is φ = 96071184000.

The previous prime is 105720100289. The next prime is 105720100337. The reversal of 105720100321 is 123001027501.

It is a happy number.

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

It is not a de Polignac number, because 105720100321 - 2⁵ = 105720100289 is a prime.

It is a super-2 number, since 2×105720100321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105720100292 and 105720100301.

It is not an unprimeable number, because it can be changed into a prime (105720100721) 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 7 ways as a sum of consecutive naturals, for example, 1870800 + ... + 1926481.

It is an arithmetic number, because the mean of its divisors is an integer number (14422077036).

Almost surely, 2^105720100321 is an apocalyptic number.

105720100321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105720100321 is a deficient number, since it is larger than the sum of its proper divisors (9656515967).

105720100321 is a wasteful number, since it uses less digits than its factorization.

105720100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799823.

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 105720100321 its reverse (123001027501), we get a palindrome (228721127822).

The spelling of 105720100321 in words is "one hundred five billion, seven hundred twenty million, one hundred thousand, three hundred twenty-one".