106166680 has 64 divisors (see below), whose sum is σ = 260172000. Its totient is φ = 38836224.

The previous prime is 106166633. The next prime is 106166681. The reversal of 106166680 is 86661601.

It is a super-2 number, since 2×106166680² = 22542727884444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106166681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19632 + ... + 24448.

Almost surely, 2^106166680 is an apocalyptic number.

106166680 is a gapful number since it is divisible by the number (10) 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 106166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130086000).

106166680 is an abundant number, since it is smaller than the sum of its proper divisors (154005320).

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

106166680 is a wasteful number, since it uses less digits than its factorization.

106166680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106166680 is about 10303.7216577312. The cubic root of 106166680 is about 473.5102801152.

The spelling of 106166680 in words is "one hundred six million, one hundred sixty-six thousand, six hundred eighty".