106671000 has 192 divisors, whose sum is σ = 353190240. Its totient is φ = 26784000.

The previous prime is 106670989. The next prime is 106671011. The reversal of 106671000 is 176601.

It is an interprime number because it is at equal distance from previous prime (106670989) and next prime (106671011).

It is a super-2 number, since 2×106671000² = 22757404482000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2882982 + ... + 2883018.

Almost surely, 2^106671000 is an apocalyptic number.

106671000 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 106671000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176595120).

106671000 is an abundant number, since it is smaller than the sum of its proper divisors (246519240).

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

106671000 is a wasteful number, since it uses less digits than its factorization.

106671000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106671000 is about 10328.1653743538. The cubic root of 106671000 is about 474.2588626802.

The spelling of 106671000 in words is "one hundred six million, six hundred seventy-one thousand".