106301827278018 has 24 divisors (see below), whose sum is σ = 231216814984428. Its totient is φ = 35296067162112.

The previous prime is 106301827278001. The next prime is 106301827278019. The reversal of 106301827278018 is 810872728103601.

106301827278018 is a `hidden beast` number, since 106 + 301 + 82 + 72 + 7 + 80 + 18 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106263461045889 + 38366232129 = 10308417^2 + 195873^2 .

It is a super-2 number, since 2×106301827278018² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106301827278019) 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, 11489600571 + ... + 11489609822.

Almost surely, 2^{106301827278018} is an apocalyptic number.

106301827278018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106301827278018 is an abundant number, since it is smaller than the sum of its proper divisors (124914987706410).

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

106301827278018 is a wasteful number, since it uses less digits than its factorization.

106301827278018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22979210658 (or 22979210655 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 106301827278018 in words is "one hundred six trillion, three hundred one billion, eight hundred twenty-seven million, two hundred seventy-eight thousand, eighteen".