105538587513 has 8 divisors (see below), whose sum is σ = 141963410208. Its totient is φ = 69736411584.

The previous prime is 105538587503. The next prime is 105538587527. The reversal of 105538587513 is 315785835501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105538587513 - 2¹² = 105538583417 is a prime.

It is a super-3 number, since 3×105538587513³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105538587503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155661295 + ... + 155661972.

It is an arithmetic number, because the mean of its divisors is an integer number (17745426276).

Almost surely, 2^105538587513 is an apocalyptic number.

It is an amenable number.

105538587513 is a deficient number, since it is larger than the sum of its proper divisors (36424822695).

105538587513 is a wasteful number, since it uses less digits than its factorization.

105538587513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311323383.

The product of its (nonzero) digits is 2520000, while the sum is 51.

The spelling of 105538587513 in words is "one hundred five billion, five hundred thirty-eight million, five hundred eighty-seven thousand, five hundred thirteen".