106105180 has 24 divisors (see below), whose sum is σ = 223180272. Its totient is φ = 42373632.

The previous prime is 106105163. The next prime is 106105189. The reversal of 106105180 is 81501601.

It is a super-2 number, since 2×106105180² = 22516618445664800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9519 + ... + 17401.

It is an arithmetic number, because the mean of its divisors is an integer number (9299178).

Almost surely, 2^106105180 is an apocalyptic number.

106105180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105180 is an abundant number, since it is smaller than the sum of its proper divisors (117075092).

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

106105180 is a wasteful number, since it uses less digits than its factorization.

106105180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 106105180 is about 10300.7368668460. The cubic root of 106105180 is about 473.4188311249.

Adding to 106105180 its reverse (81501601), we get a palindrome (187606781).

The spelling of 106105180 in words is "one hundred six million, one hundred five thousand, one hundred eighty".