105081002244 has 297 divisors, whose sum is σ = 298636358293. Its totient is φ = 32348774304.

The previous prime is 105081002209. The next prime is 105081002249. The reversal of 105081002244 is 442200180501.

The square root of 105081002244 is 324162.

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

105081002244 is a `hidden beast` number, since 10 + 508 + 100 + 2 + 2 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55101928644 + 49979073600 = 234738^2 + 223560^2 .

It is a super-2 number, since 2×105081002244² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105081002249) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3623482822 + ... + 3623482850.

Almost surely, 2^105081002244 is an apocalyptic number.

105081002244 is the 324162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105081002244

105081002244 is an abundant number, since it is smaller than the sum of its proper divisors (193555356049).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105081002244 is an frugal number, since it uses more digits than its factorization.

105081002244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 105081002244 its reverse (442200180501), we get a palindrome (547281182745).

The spelling of 105081002244 in words is "one hundred five billion, eighty-one million, two thousand, two hundred forty-four".