106186180 has 24 divisors (see below), whose sum is σ = 226134720. Its totient is φ = 41875680.

The previous prime is 106186169. The next prime is 106186181. The reversal of 106186180 is 81681601.

It is a happy number.

It is a super-2 number, since 2×106186180² = 22551009645984800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106186181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35970 + ... + 38809.

It is an arithmetic number, because the mean of its divisors is an integer number (9422280).

Almost surely, 2^106186180 is an apocalyptic number.

106186180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106186180 is an abundant number, since it is smaller than the sum of its proper divisors (119948540).

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

106186180 is a wasteful number, since it uses less digits than its factorization.

106186180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74859 (or 74857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 106186180 is about 10304.6678743179. The cubic root of 106186180 is about 473.5392687621.

The spelling of 106186180 in words is "one hundred six million, one hundred eighty-six thousand, one hundred eighty".