105432110125 has 16 divisors (see below), whose sum is σ = 131719249584. Its totient is φ = 84255960000.

The previous prime is 105432110107. The next prime is 105432110129. The reversal of 105432110125 is 521011234501.

It can be written as a sum of positive squares in 8 ways, for example, as 35369196489 + 70062913636 = 188067^2 + 264694^2 .

It is not a de Polignac number, because 105432110125 - 2¹⁹ = 105431585837 is a prime.

It is a super-2 number, since 2×105432110125² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105432110125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330546 + ... + 565795.

It is an arithmetic number, because the mean of its divisors is an integer number (8232453099).

Almost surely, 2^105432110125 is an apocalyptic number.

It is an amenable number.

105432110125 is a deficient number, since it is larger than the sum of its proper divisors (26287139459).

105432110125 is an frugal number, since it uses more digits than its factorization.

105432110125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897297 (or 897287 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 105432110125 its reverse (521011234501), we get a palindrome (626443344626).

The spelling of 105432110125 in words is "one hundred five billion, four hundred thirty-two million, one hundred ten thousand, one hundred twenty-five".