106328000 has 56 divisors (see below), whose sum is σ = 263341104. Its totient is φ = 42528000.

The previous prime is 106327999. The next prime is 106328003. The reversal of 106328000 is 823601.

It is a super-2 number, since 2×106328000² = 22611287168000000, 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 not an unprimeable number, because it can be changed into a prime (106328003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355 + ... + 14645.

Almost surely, 2^106328000 is an apocalyptic number.

106328000 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 106328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131670552).

106328000 is an abundant number, since it is smaller than the sum of its proper divisors (157013104).

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

106328000 is an equidigital number, since it uses as much as digits as its factorization.

106328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318 (or 13298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106328000 is about 10311.5469256557. The cubic root of 106328000 is about 473.7499912977.

The spelling of 106328000 in words is "one hundred six million, three hundred twenty-eight thousand".