105366348657 has 12 divisors (see below), whose sum is σ = 152204342004. Its totient is φ = 70240307040.

The previous prime is 105366348613. The next prime is 105366348683. The reversal of 105366348657 is 756843663501.

105366348657 is a `hidden beast` number, since 1 + 0 + 53 + 6 + 63 + 486 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32906322801 + 72460025856 = 181401^2 + 269184^2 .

It is not a de Polignac number, because 105366348657 - 2¹⁴ = 105366332273 is a prime.

It is a super-2 number, since 2×105366348657² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105366348457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152194 + ... + 483627.

It is an arithmetic number, because the mean of its divisors is an integer number (12683695167).

Almost surely, 2^105366348657 is an apocalyptic number.

It is an amenable number.

105366348657 is a deficient number, since it is larger than the sum of its proper divisors (46837993347).

105366348657 is a wasteful number, since it uses less digits than its factorization.

105366348657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654240 (or 654237 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 105366348657 in words is "one hundred five billion, three hundred sixty-six million, three hundred forty-eight thousand, six hundred fifty-seven".