106186626 has 144 divisors (see below), whose sum is σ = 299767104. Its totient is φ = 28005264.

The previous prime is 106186621. The next prime is 106186627. The reversal of 106186626 is 626681601.

106186626 is a `hidden beast` number, since 10 + 6 + 18 + 6 + 626 = 666.

It is a super-2 number, since 2×106186626² = 22551199082527752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106186621) 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 71 ways as a sum of consecutive naturals, for example, 8168196 + ... + 8168208.

It is an arithmetic number, because the mean of its divisors is an integer number (2081716).

Almost surely, 2^106186626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106186626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149883552).

106186626 is an abundant number, since it is smaller than the sum of its proper divisors (193580478).

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

106186626 is an frugal number, since it uses more digits than its factorization.

106186626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106186626 is about 10304.6895149733. The cubic root of 106186626 is about 473.5399317430.

The spelling of 106186626 in words is "one hundred six million, one hundred eighty-six thousand, six hundred twenty-six".