106667000 has 64 divisors (see below), whose sum is σ = 272319840. Its totient is φ = 38784000.

The previous prime is 106666991. The next prime is 106667039. The reversal of 106667000 is 766601.

It is a super-2 number, since 2×106667000² = 22755697778000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6152 + ... + 15848.

Almost surely, 2^106667000 is an apocalyptic number.

106667000 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 106667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136159920).

106667000 is an abundant number, since it is smaller than the sum of its proper divisors (165652840).

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

106667000 is a wasteful number, since it uses less digits than its factorization.

106667000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729 (or 9715 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106667000 is about 10327.9717273044. The cubic root of 106667000 is about 474.2529346111.

The spelling of 106667000 in words is "one hundred six million, six hundred sixty-seven thousand".