106560018 has 48 divisors (see below), whose sum is σ = 247197600. Its totient is φ = 33073920.

The previous prime is 106560011. The next prime is 106560023. The reversal of 106560018 is 810065601.

106560018 is a `hidden beast` number, since 1 + 0 + 656 + 0 + 0 + 1 + 8 = 666.

It is a super-2 number, since 2×106560018² = 22710074872320648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106559973 and 106560000.

It is not an unprimeable number, because it can be changed into a prime (106560011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17538 + ... + 22818.

It is an arithmetic number, because the mean of its divisors is an integer number (5149950).

Almost surely, 2^106560018 is an apocalyptic number.

106560018 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 106560018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123598800).

106560018 is an abundant number, since it is smaller than the sum of its proper divisors (140637582).

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

106560018 is a wasteful number, since it uses less digits than its factorization.

106560018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106560018 is about 10322.7911923084. The cubic root of 106560018 is about 474.0943304223.

The spelling of 106560018 in words is "one hundred six million, five hundred sixty thousand, eighteen".