105485488137 has 48 divisors (see below), whose sum is σ = 161895464640. Its totient is φ = 68609840832.

The previous prime is 105485488127. The next prime is 105485488139. The reversal of 105485488137 is 731884584501.

105485488137 is a `hidden beast` number, since 1 + 0 + 54 + 85 + 488 + 1 + 37 = 666.

It is not a de Polignac number, because 105485488137 - 2⁸ = 105485487881 is a prime.

It is a super-2 number, since 2×105485488137² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105485488139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2282463 + ... + 2328219.

It is an arithmetic number, because the mean of its divisors is an integer number (3372822180).

Almost surely, 2^105485488137 is an apocalyptic number.

It is an amenable number.

105485488137 is a deficient number, since it is larger than the sum of its proper divisors (56409976503).

105485488137 is an equidigital number, since it uses as much as digits as its factorization.

105485488137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46004 (or 45992 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 105485488137 in words is "one hundred five billion, four hundred eighty-five million, four hundred eighty-eight thousand, one hundred thirty-seven".