106449124320 has 1728 divisors, whose sum is σ = 498422066688. Its totient is φ = 20827238400.

The previous prime is 106449124277. The next prime is 106449124321. The reversal of 106449124320 is 23421944601.

106449124320 is a `hidden beast` number, since 1 + 0 + 644 + 9 + 1 + 2 + 4 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×106449124320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106449124321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2877003342 + ... + 2877003378.

It is an arithmetic number, because the mean of its divisors is an integer number (288438696).

Almost surely, 2^106449124320 is an apocalyptic number.

106449124320 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 106449124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249211033344).

106449124320 is an abundant number, since it is smaller than the sum of its proper divisors (391972942368).

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

106449124320 is a wasteful number, since it uses less digits than its factorization.

106449124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106449124320 in words is "one hundred six billion, four hundred forty-nine million, one hundred twenty-four thousand, three hundred twenty".