105461010018 has 384 divisors, whose sum is σ = 298343485440. Its totient is φ = 27184584960.

The previous prime is 105461010013. The next prime is 105461010043. The reversal of 105461010018 is 810010164501.

105461010018 is a `hidden beast` number, since 1 + 0 + 546 + 1 + 0 + 100 + 18 = 666.

It is a super-2 number, since 2×105461010018² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105461009973 and 105461010000.

It is not an unprimeable number, because it can be changed into a prime (105461010013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 631502971 + ... + 631503137.

It is an arithmetic number, because the mean of its divisors is an integer number (776936160).

Almost surely, 2^105461010018 is an apocalyptic number.

105461010018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105461010018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149171742720).

105461010018 is an abundant number, since it is smaller than the sum of its proper divisors (192882475422).

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

105461010018 is a wasteful number, since it uses less digits than its factorization.

105461010018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 105461010018 its reverse (810010164501), we get a palindrome (915471174519).

The spelling of 105461010018 in words is "one hundred five billion, four hundred sixty-one million, ten thousand, eighteen".