105485281137 has 12 divisors (see below), whose sum is σ = 152383964980. Its totient is φ = 70315980768.

The previous prime is 105485281051. The next prime is 105485281141. The reversal of 105485281137 is 731182584501.

105485281137 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 8 + 528 + 113 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41326417521 + 64158863616 = 203289^2 + 253296^2 .

It is not a de Polignac number, because 105485281137 - 2¹⁰ = 105485280113 is a prime.

It is a super-2 number, since 2×105485281137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105485281092 and 105485281101.

It is not an unprimeable number, because it can be changed into a prime (105485281147) 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, 539062 + ... + 708207.

Almost surely, 2^105485281137 is an apocalyptic number.

It is an amenable number.

105485281137 is a deficient number, since it is larger than the sum of its proper divisors (46898683843).

105485281137 is a wasteful number, since it uses less digits than its factorization.

105485281137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256672 (or 1256669 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 105485281137 in words is "one hundred five billion, four hundred eighty-five million, two hundred eighty-one thousand, one hundred thirty-seven".