218737740105 has 12 divisors (see below), whose sum is σ = 379145416260. Its totient is φ = 116660128032.

The previous prime is 218737740101. The next prime is 218737740131. The reversal of 218737740105 is 501047737812.

It can be written as a sum of positive squares in 2 ways, for example, as 35331969024 + 183405771081 = 187968^2 + 428259^2 .

It is not a de Polignac number, because 218737740105 - 2² = 218737740101 is a prime.

It is a super-2 number, since 2×218737740105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4860838669 = 218737740105 / (2 + 1 + 8 + 7 + 3 + 7 + 7 + 4 + 0 + 1 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (218737740101) 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, 2430419290 + ... + 2430419379.

It is an arithmetic number, because the mean of its divisors is an integer number (31595451355).

Almost surely, 2^218737740105 is an apocalyptic number.

It is an amenable number.

218737740105 is a deficient number, since it is larger than the sum of its proper divisors (160407676155).

218737740105 is a wasteful number, since it uses less digits than its factorization.

218737740105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860838680 (or 4860838677 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 218737740105 in words is "two hundred eighteen billion, seven hundred thirty-seven million, seven hundred forty thousand, one hundred five".