105634415212218 has 12 divisors (see below), whose sum is σ = 228874566293178. Its totient is φ = 35211471737400.

The previous prime is 105634415212211. The next prime is 105634415212237. The reversal of 105634415212218 is 812212514436501.

105634415212218 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 4 + 415 + 2 + 1 + 221 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100923462168489 + 4710953043729 = 10046067^2 + 2170473^2 .

It is a super-2 number, since 2×105634415212218² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105634415212211) 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, 2934289311433 + ... + 2934289311468.

Almost surely, 2^{105634415212218} is an apocalyptic number.

105634415212218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105634415212218 is an abundant number, since it is smaller than the sum of its proper divisors (123240151080960).

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

105634415212218 is a wasteful number, since it uses less digits than its factorization.

105634415212218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868578622909 (or 5868578622906 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 105634415212218 its reverse (812212514436501), we get a palindrome (917846929648719).

The spelling of 105634415212218 in words is "one hundred five trillion, six hundred thirty-four billion, four hundred fifteen million, two hundred twelve thousand, two hundred eighteen".