105529280481 has 12 divisors (see below), whose sum is σ = 152458685652. Its totient is φ = 70340160096.

The previous prime is 105529280477. The next prime is 105529280491. The reversal of 105529280481 is 184082925501.

105529280481 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 92 + 80 + 481 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51057921600 + 54471358881 = 225960^2 + 233391^2 .

It is not a de Polignac number, because 105529280481 - 2² = 105529280477 is a prime.

It is a super-2 number, since 2×105529280481² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105529280411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005006 + ... + 1105031.

It is an arithmetic number, because the mean of its divisors is an integer number (12704890471).

Almost surely, 2^105529280481 is an apocalyptic number.

It is an amenable number.

105529280481 is a deficient number, since it is larger than the sum of its proper divisors (46929405171).

105529280481 is a wasteful number, since it uses less digits than its factorization.

105529280481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115600 (or 2115597 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 105529280481 in words is "one hundred five billion, five hundred twenty-nine million, two hundred eighty thousand, four hundred eighty-one".