105384488275 has 48 divisors (see below), whose sum is σ = 144127703808. Its totient is φ = 75800240000.

The previous prime is 105384488273. The next prime is 105384488359. The reversal of 105384488275 is 572884483501.

It is not a de Polignac number, because 105384488275 - 2¹ = 105384488273 is a prime.

It is a super-2 number, since 2×105384488275² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (105384488273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36300474 + ... + 36303376.

It is an arithmetic number, because the mean of its divisors is an integer number (3002660496).

Almost surely, 2^105384488275 is an apocalyptic number.

105384488275 is a deficient number, since it is larger than the sum of its proper divisors (38743215533).

105384488275 is a wasteful number, since it uses less digits than its factorization.

105384488275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The spelling of 105384488275 in words is "one hundred five billion, three hundred eighty-four million, four hundred eighty-eight thousand, two hundred seventy-five".