105240103175 has 12 divisors (see below), whose sum is σ = 134997650520. Its totient is φ = 81288906720.

The previous prime is 105240103139. The next prime is 105240103183. The reversal of 105240103175 is 571301042501.

105240103175 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 105240103175 - 2¹⁰ = 105240102151 is a prime.

It is a super-2 number, since 2×105240103175² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

105240103175 is strictly pandigital in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72578657 + ... + 72580106.

It is an arithmetic number, because the mean of its divisors is an integer number (11249804210).

Almost surely, 2^105240103175 is an apocalyptic number.

105240103175 is a deficient number, since it is larger than the sum of its proper divisors (29757547345).

105240103175 is a wasteful number, since it uses less digits than its factorization.

105240103175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145158802 (or 145158797 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

Adding to 105240103175 its reverse (571301042501), we get a palindrome (676541145676).

The spelling of 105240103175 in words is "one hundred five billion, two hundred forty million, one hundred three thousand, one hundred seventy-five".