106000051050018 has 12 divisors (see below), whose sum is σ = 229666777275078. Its totient is φ = 35333350350000.

The previous prime is 106000051050017. The next prime is 106000051050067. The reversal of 106000051050018 is 810050150000601.

106000051050018 is a `hidden beast` number, since 1 + 0 + 600 + 0 + 0 + 5 + 1 + 0 + 50 + 0 + 1 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67293523847169 + 38706527202849 = 8203263^2 + 6221457^2 .

It is a super-2 number, since 2×106000051050018² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106000051049973 and 106000051050000.

It is not an unprimeable number, because it can be changed into a prime (106000051050011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2944445862483 + ... + 2944445862518.

Almost surely, 2^{106000051050018} is an apocalyptic number.

106000051050018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106000051050018 is an abundant number, since it is smaller than the sum of its proper divisors (123666726225060).

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

106000051050018 is a wasteful number, since it uses less digits than its factorization.

106000051050018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888891725009 (or 5888891725006 counting only the distinct ones).

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

The spelling of 106000051050018 in words is "one hundred six trillion, fifty-one million, fifty thousand, eighteen".