106024320 has 192 divisors, whose sum is σ = 372340800. Its totient is φ = 27795456.

The previous prime is 106024301. The next prime is 106024343. The reversal of 106024320 is 23420601.

It is a happy number.

106024320 is a `hidden beast` number, since 1 + 0 + 602 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106024320² = 22482312862924800, 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 = 106024293 and 106024302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454924 + ... + 455156.

It is an arithmetic number, because the mean of its divisors is an integer number (1939275).

Almost surely, 2^106024320 is an apocalyptic number.

106024320 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 106024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186170400).

106024320 is an abundant number, since it is smaller than the sum of its proper divisors (266316480).

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

106024320 is a wasteful number, since it uses less digits than its factorization.

106024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106024320 is about 10296.8111568582. The cubic root of 106024320 is about 473.2985405006.

Adding to 106024320 its reverse (23420601), we get a palindrome (129444921).

The spelling of 106024320 in words is "one hundred six million, twenty-four thousand, three hundred twenty".