105099804481 has 27 divisors (see below), whose sum is σ = 126699491529. Its totient is φ = 86924684448.

The previous prime is 105099804451. The next prime is 105099804503. The reversal of 105099804481 is 184408990501.

The square root of 105099804481 is 324191.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8989884225 + 96109920256 = 94815^2 + 310016^2 .

It is not a de Polignac number, because 105099804481 - 2⁹ = 105099803969 is a prime.

It is a super-2 number, since 2×105099804481² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105099804451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65809975 + ... + 65811571.

Almost surely, 2^105099804481 is an apocalyptic number.

105099804481 is the 324191-st square number.

105099804481 is the 162096-th centered octagonal number.

It is an amenable number.

105099804481 is a deficient number, since it is larger than the sum of its proper divisors (21599687048).

105099804481 is an frugal number, since it uses more digits than its factorization.

105099804481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 105099804481 by its sum of digits (49), we get a square (5149890419569 = 2269337²).

105099804481 divided by its sum of digits (49) gives a square (2144893969 = 46313²).

The spelling of 105099804481 in words is "one hundred five billion, ninety-nine million, eight hundred four thousand, four hundred eighty-one".