106320630 has 64 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 26007936.

The previous prime is 106320623. The next prime is 106320653. The reversal of 106320630 is 36023601.

It is a super-2 number, since 2×106320630² = 22608152727193800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106320597 and 106320606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69049 + ... + 70571.

It is an arithmetic number, because the mean of its divisors is an integer number (4320540).

Almost surely, 2^106320630 is an apocalyptic number.

106320630 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 106320630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

106320630 is an abundant number, since it is smaller than the sum of its proper divisors (170193930).

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

106320630 is a wasteful number, since it uses less digits than its factorization.

106320630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 106320630 is about 10311.1895531020. The cubic root of 106320630 is about 473.7390452374.

The spelling of 106320630 in words is "one hundred six million, three hundred twenty thousand, six hundred thirty".