106166000 has 80 divisors (see below), whose sum is σ = 259596480. Its totient is φ = 41990400.

The previous prime is 106165981. The next prime is 106166023. The reversal of 106166000 is 661601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106166000² = 22542439112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217757 + ... + 218243.

It is an arithmetic number, because the mean of its divisors is an integer number (3244956).

Almost surely, 2^106166000 is an apocalyptic number.

106166000 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 106166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129798240).

106166000 is an abundant number, since it is smaller than the sum of its proper divisors (153430480).

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

106166000 is a wasteful number, since it uses less digits than its factorization.

106166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106166000 is about 10303.6886598926. The cubic root of 106166000 is about 473.5092691650.

The spelling of 106166000 in words is "one hundred six million, one hundred sixty-six thousand".