218107103364 has 36 divisors (see below), whose sum is σ = 551341614460. Its totient is φ = 72700346880.

The previous prime is 218107103363. The next prime is 218107103369. The reversal of 218107103364 is 463301701812.

It is a happy number.

218107103364 is a `hidden beast` number, since 218 + 10 + 71 + 0 + 3 + 364 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124955180100 + 93151923264 = 353490^2 + 305208^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218107103363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1816752 + ... + 1933080.

Almost surely, 2^218107103364 is an apocalyptic number.

It is an amenable number.

218107103364 is an abundant number, since it is smaller than the sum of its proper divisors (333234511096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218107103364 is a wasteful number, since it uses less digits than its factorization.

218107103364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168420 (or 168415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 218107103364 in words is "two hundred eighteen billion, one hundred seven million, one hundred three thousand, three hundred sixty-four".