106658000 has 80 divisors (see below), whose sum is σ = 273156624. Its totient is φ = 40140800.

The previous prime is 106657997. The next prime is 106658003. The reversal of 106658000 is 856601.

It is an interprime number because it is at equal distance from previous prime (106657997) and next prime (106658003).

It can be written as a sum of positive squares in 8 ways, for example, as 732736 + 105925264 = 856^2 + 10292^2 .

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

It is a super-2 number, since 2×106658000² = 22751857928000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106658003) 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, 32432 + ... + 35568.

Almost surely, 2^106658000 is an apocalyptic number.

106658000 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 106658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136578312).

106658000 is an abundant number, since it is smaller than the sum of its proper divisors (166498624).

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

106658000 is a wasteful number, since it uses less digits than its factorization.

106658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106658000 is about 10327.5360081677. The cubic root of 106658000 is about 474.2395959139.

The spelling of 106658000 in words is "one hundred six million, six hundred fifty-eight thousand".