106006324240 has 40 divisors (see below), whose sum is σ = 250642082880. Its totient is φ = 41683840896.

The previous prime is 106006324231. The next prime is 106006324241. The reversal of 106006324240 is 42423600601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106006324240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006324199 and 106006324208.

It is not an unprimeable number, because it can be changed into a prime (106006324241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11224764 + ... + 11234203.

It is an arithmetic number, because the mean of its divisors is an integer number (6266052072).

Almost surely, 2^106006324240 is an apocalyptic number.

106006324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006324240 is an abundant number, since it is smaller than the sum of its proper divisors (144635758640).

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

106006324240 is a wasteful number, since it uses less digits than its factorization.

106006324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22459039 (or 22459033 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 106006324240 its reverse (42423600601), we get a palindrome (148429924841).

The spelling of 106006324240 in words is "one hundred six billion, six million, three hundred twenty-four thousand, two hundred forty".