106343424000 has 672 divisors, whose sum is σ = 418631522400. Its totient is φ = 25755648000.

The previous prime is 106343423957. The next prime is 106343424007. The reversal of 106343424000 is 424343601.

106343424000 is a `hidden beast` number, since 1 + 0 + 634 + 3 + 4 + 24 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106343424000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106343424007) by changing a digit.

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, 101375476 + ... + 101376524.

It is an arithmetic number, because the mean of its divisors is an integer number (622963575).

Almost surely, 2^106343424000 is an apocalyptic number.

106343424000 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 106343424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209315761200).

106343424000 is an abundant number, since it is smaller than the sum of its proper divisors (312288098400).

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

106343424000 is a wasteful number, since it uses less digits than its factorization.

106343424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 106343424000 its reverse (424343601), we get a palindrome (106767767601).

The spelling of 106343424000 in words is "one hundred six billion, three hundred forty-three million, four hundred twenty-four thousand".