106327830 has 64 divisors (see below), whose sum is σ = 301068288. Its totient is φ = 23518080.

The previous prime is 106327817. The next prime is 106327831. The reversal of 106327830 is 38723601.

It is a super-2 number, since 2×106327830² = 22611214865017800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106327831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (4704192).

Almost surely, 2^106327830 is an apocalyptic number.

106327830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106327830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150534144).

106327830 is an abundant number, since it is smaller than the sum of its proper divisors (194740458).

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

106327830 is a wasteful number, since it uses less digits than its factorization.

106327830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16381.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 106327830 is about 10311.5386824664. The cubic root of 106327830 is about 473.7497388163.

The spelling of 106327830 in words is "one hundred six million, three hundred twenty-seven thousand, eight hundred thirty".