106442320 has 20 divisors (see below), whose sum is σ = 247478580. Its totient is φ = 42576896.

The previous prime is 106442269. The next prime is 106442327. The reversal of 106442320 is 23244601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 71301136 = 5928^2 + 8444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-5 number, since 5×106442320⁵ (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106442291 and 106442300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106442327) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 665185 + ... + 665344.

It is an arithmetic number, because the mean of its divisors is an integer number (12373929).

Almost surely, 2^106442320 is an apocalyptic number.

106442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106442320 is an abundant number, since it is smaller than the sum of its proper divisors (141036260).

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

106442320 is a wasteful number, since it uses less digits than its factorization.

106442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330542 (or 1330536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 106442320 is about 10317.0887366543. The cubic root of 106442320 is about 473.9197167405.

Adding to 106442320 its reverse (23244601), we get a palindrome (129686921).

The spelling of 106442320 in words is "one hundred six million, four hundred forty-two thousand, three hundred twenty".