105717071552 has 56 divisors (see below), whose sum is σ = 211101584400. Its totient is φ = 52527104000.

The previous prime is 105717071527. The next prime is 105717071617. The reversal of 105717071552 is 255170717501.

105717071552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105717071552² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7205408 + ... + 7220064.

It is an arithmetic number, because the mean of its divisors is an integer number (3769671150).

Almost surely, 2^105717071552 is an apocalyptic number.

It is an amenable number.

105717071552 is a deficient number, since it is larger than the sum of its proper divisors (105384512848).

105717071552 is a wasteful number, since it uses less digits than its factorization.

105717071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 85750, while the sum is 41.

The spelling of 105717071552 in words is "one hundred five billion, seven hundred seventeen million, seventy-one thousand, five hundred fifty-two".