105548388169257 has 12 divisors (see below), whose sum is σ = 166318672266864. Its totient is φ = 63968720102520.

The previous prime is 105548388169201. The next prime is 105548388169283. The reversal of 105548388169257 is 752961883845501.

It is a happy number.

105548388169257 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 483 + 8 + 8 + 1 + 6 + 92 + 57 = 666.

It is not a de Polignac number, because 105548388169257 - 2⁸ = 105548388169001 is a prime.

It is a super-5 number, since 5×105548388169257⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105548388119257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533072667423 + ... + 533072667620.

It is an arithmetic number, because the mean of its divisors is an integer number (13859889355572).

It is a 2-persistent number, because it is pandigital, and so is 2⋅105548388169257 = 211096776338514, but 3⋅105548388169257 = 316645164507771 is not.

Almost surely, 2^{105548388169257} is an apocalyptic number.

It is an amenable number.

105548388169257 is a deficient number, since it is larger than the sum of its proper divisors (60770284097607).

105548388169257 is a wasteful number, since it uses less digits than its factorization.

105548388169257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066145335060 (or 1066145335057 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 105548388169257 in words is "one hundred five trillion, five hundred forty-eight billion, three hundred eighty-eight million, one hundred sixty-nine thousand, two hundred fifty-seven".