106166412 has 72 divisors (see below), whose sum is σ = 295206912. Its totient is φ = 31903200.

The previous prime is 106166407. The next prime is 106166447. The reversal of 106166412 is 214661601.

106166412 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 641 + 2 = 666.

It is a super-2 number, since 2×106166412² = 22542614073907488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49237 + ... + 51347.

It is an arithmetic number, because the mean of its divisors is an integer number (4100096).

Almost surely, 2^106166412 is an apocalyptic number.

106166412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106166412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147603456).

106166412 is an abundant number, since it is smaller than the sum of its proper divisors (189040500).

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

106166412 is a wasteful number, since it uses less digits than its factorization.

106166412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106166412 is about 10303.7086527134. The cubic root of 106166412 is about 473.5098816824.

The spelling of 106166412 in words is "one hundred six million, one hundred sixty-six thousand, four hundred twelve".