105505601060525 has 48 divisors (see below), whose sum is σ = 132617310758400. Its totient is φ = 83251620840960.

The previous prime is 105505601060521. The next prime is 105505601060543. The reversal of 105505601060525 is 525060106505501.

It is a happy number.

It is not a de Polignac number, because 105505601060525 - 2² = 105505601060521 is a prime.

It is a super-3 number, since 3×105505601060525³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505601060521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9778991831 + ... + 9779002619.

It is an arithmetic number, because the mean of its divisors is an integer number (2762860640800).

Almost surely, 2^{105505601060525} is an apocalyptic number.

It is an amenable number.

105505601060525 is a deficient number, since it is larger than the sum of its proper divisors (27111709697875).

105505601060525 is a wasteful number, since it uses less digits than its factorization.

105505601060525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15438 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 41.

The spelling of 105505601060525 in words is "one hundred five trillion, five hundred five billion, six hundred one million, sixty thousand, five hundred twenty-five".