105483082761 has 40 divisors (see below), whose sum is σ = 181379696960. Its totient is φ = 59842361952.

The previous prime is 105483082739. The next prime is 105483082769. The reversal of 105483082761 is 167280384501.

105483082761 is a `hidden beast` number, since 1 + 0 + 548 + 30 + 8 + 2 + 76 + 1 = 666.

It is not a de Polignac number, because 105483082761 - 2⁵ = 105483082729 is a prime.

It is a super-2 number, since 2×105483082761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105483082769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590386 + ... + 748011.

It is an arithmetic number, because the mean of its divisors is an integer number (4534492424).

Almost surely, 2^105483082761 is an apocalyptic number.

It is an amenable number.

105483082761 is a deficient number, since it is larger than the sum of its proper divisors (75896614199).

105483082761 is a wasteful number, since it uses less digits than its factorization.

105483082761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338555 (or 1338546 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 105483082761 in words is "one hundred five billion, four hundred eighty-three million, eighty-two thousand, seven hundred sixty-one".