105050601018 has 48 divisors (see below), whose sum is σ = 248472989856. Its totient is φ = 31811519520.

The previous prime is 105050601001. The next prime is 105050601031. The reversal of 105050601018 is 810106050501.

105050601018 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 50 + 601 + 0 + 1 + 8 = 666.

It is a super-2 number, since 2×105050601018² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105050600982 and 105050601000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105121 + ... + 470267.

It is an arithmetic number, because the mean of its divisors is an integer number (5176520622).

Almost surely, 2^105050601018 is an apocalyptic number.

105050601018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105050601018 is an abundant number, since it is smaller than the sum of its proper divisors (143422388838).

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

105050601018 is a wasteful number, since it uses less digits than its factorization.

105050601018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366619 (or 366616 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 105050601018 its reverse (810106050501), we get a palindrome (915156651519).

The spelling of 105050601018 in words is "one hundred five billion, fifty million, six hundred one thousand, eighteen".