105630850081 has 3 divisors (see below), whose sum is σ = 105631175091. Its totient is φ = 105630525072.

The previous prime is 105630850063. The next prime is 105630850097. The reversal of 105630850081 is 180058036501.

The square root of 105630850081 is 325009.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 180058036501 = 7 ⋅25722576643.

It can be written as a sum of positive squares in only one way, i.e., 54083688481 + 51547161600 = 232559^2 + 227040^2 .

It is not a de Polignac number, because 105630850081 - 2¹³ = 105630841889 is a prime.

It is a super-2 number, since 2×105630850081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105630850081.

It is not an unprimeable number, because it can be changed into a prime (105630850001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162505 + ... + 487513.

It is an arithmetic number, because the mean of its divisors is an integer number (35210391697).

Almost surely, 2^105630850081 is an apocalyptic number.

105630850081 is the 325009-th square number.

105630850081 is the 162505-th centered octagonal number.

It is an amenable number.

105630850081 is a deficient number, since it is larger than the sum of its proper divisors (325010).

105630850081 is an frugal number, since it uses more digits than its factorization.

105630850081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650018 (or 325009 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

Adding to 105630850081 its reverse (180058036501), we get a palindrome (285688886582).

The spelling of 105630850081 in words is "one hundred five billion, six hundred thirty million, eight hundred fifty thousand, eighty-one".