106440065280000 has 1920 divisors, whose sum is σ = 407854294848000. Its totient is φ = 27745763328000.

The previous prime is 106440065279983. The next prime is 106440065280001. The reversal of 106440065280000 is 82560044601.

106440065280000 is a `hidden beast` number, since 1 + 0 + 644 + 0 + 0 + 6 + 5 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106440065280000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106440065280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 131569919596 + ... + 131569920404.

It is an arithmetic number, because the mean of its divisors is an integer number (212424111900).

Almost surely, 2^{106440065280000} is an apocalyptic number.

106440065280000 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 106440065280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203927147424000).

106440065280000 is an abundant number, since it is smaller than the sum of its proper divisors (301414229568000).

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

106440065280000 is an frugal number, since it uses more digits than its factorization.

106440065280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 106440065280000 in words is "one hundred six trillion, four hundred forty billion, sixty-five million, two hundred eighty thousand".