105501186600057 has 6 divisors (see below), whose sum is σ = 152390602866762. Its totient is φ = 70334124400032.

The previous prime is 105501186600023. The next prime is 105501186600059. The reversal of 105501186600057 is 750006681105501.

It is a happy number.

105501186600057 is a `hidden beast` number, since 1 + 0 + 5 + 501 + 1 + 86 + 60 + 0 + 0 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67981690500201 + 37519496099856 = 8245101^2 + 6125316^2 .

It is not a de Polignac number, because 105501186600057 - 2¹⁰ = 105501186599033 is a prime.

It is a super-2 number, since 2×105501186600057² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105501186599985 and 105501186600021.

It is not an unprimeable number, because it can be changed into a prime (105501186600059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5861177033328 + ... + 5861177033345.

It is an arithmetic number, because the mean of its divisors is an integer number (25398433811127).

Almost surely, 2^{105501186600057} is an apocalyptic number.

It is an amenable number.

105501186600057 is a deficient number, since it is larger than the sum of its proper divisors (46889416266705).

105501186600057 is a wasteful number, since it uses less digits than its factorization.

105501186600057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722354066679 (or 11722354066676 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 105501186600057 in words is "one hundred five trillion, five hundred one billion, one hundred eighty-six million, six hundred thousand, fifty-seven".