106321320 has 192 divisors, whose sum is σ = 407946240. Its totient is φ = 23500800.

The previous prime is 106321309. The next prime is 106321331. The reversal of 106321320 is 23123601.

106321320 is a `hidden beast` number, since 1 + 0 + 632 + 1 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106321309) and next prime (106321331).

It is a super-2 number, since 2×106321320² = 22608446173084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106321293 and 106321302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77440 + ... + 78800.

It is an arithmetic number, because the mean of its divisors is an integer number (2124720).

Almost surely, 2^106321320 is an apocalyptic number.

106321320 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 106321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203973120).

106321320 is an abundant number, since it is smaller than the sum of its proper divisors (301624920).

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

106321320 is a wasteful number, since it uses less digits than its factorization.

106321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106321320 is about 10311.2230118449. The cubic root of 106321320 is about 473.7400700596.

Adding to 106321320 its reverse (23123601), we get a palindrome (129444921).

The spelling of 106321320 in words is "one hundred six million, three hundred twenty-one thousand, three hundred twenty".