105142004330525 has 24 divisors (see below), whose sum is σ = 134879924948520. Its totient is φ = 81208249436160.

The previous prime is 105142004330509. The next prime is 105142004330557. The reversal of 105142004330525 is 525033400241501.

It can be written as a sum of positive squares in 12 ways, for example, as 647384378404 + 104494619952121 = 804602^2 + 10222261^2 .

It is not a de Polignac number, because 105142004330525 - 2⁴ = 105142004330509 is a prime.

It is a super-2 number, since 2×105142004330525² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7723097 + ... + 16429553.

It is an arithmetic number, because the mean of its divisors is an integer number (5619996872855).

Almost surely, 2^{105142004330525} is an apocalyptic number.

It is an amenable number.

105142004330525 is a deficient number, since it is larger than the sum of its proper divisors (29737920617995).

105142004330525 is a wasteful number, since it uses less digits than its factorization.

105142004330525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723153 (or 8723148 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 105142004330525 in words is "one hundred five trillion, one hundred forty-two billion, four million, three hundred thirty thousand, five hundred twenty-five".