106320449993472 has 432 divisors, whose sum is σ = 372559055450400. Its totient is φ = 28714466672640.

The previous prime is 106320449993383. The next prime is 106320449993473. The reversal of 106320449993472 is 274399944023601.

106320449993472 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 2 + 0 + 449 + 99 + 34 + 72 = 666.

It is a super-6 number, since 6×106320449993472⁶ (a number of 85 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106320449993473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3990904 + ... + 15118472.

It is an arithmetic number, because the mean of its divisors is an integer number (862405220950).

Almost surely, 2^{106320449993472} is an apocalyptic number.

106320449993472 is a gapful number since it is divisible by the number (12) 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 106320449993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186279527725200).

106320449993472 is an abundant number, since it is smaller than the sum of its proper divisors (266238605456928).

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

106320449993472 is a wasteful number, since it uses less digits than its factorization.

106320449993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127644 (or 11127627 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 106320449993472 in words is "one hundred six trillion, three hundred twenty billion, four hundred forty-nine million, nine hundred ninety-three thousand, four hundred seventy-two".