106704364798080 has 2048 divisors, whose sum is σ = 452838677760000. Its totient is φ = 23722249420800.

The previous prime is 106704364798069. The next prime is 106704364798127. The reversal of 106704364798080 is 80897463407601.

106704364798080 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 0 + 4 + 3 + 6 + 479 + 80 + 80 = 666.

It is a super-2 number, since 2×106704364798080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 106704364797999 and 106704364798017.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 140215984900 + ... + 140215985660.

It is an arithmetic number, because the mean of its divisors is an integer number (221112635625).

Almost surely, 2^{106704364798080} is an apocalyptic number.

106704364798080 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 106704364798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226419338880000).

106704364798080 is an abundant number, since it is smaller than the sum of its proper divisors (346134312961920).

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

106704364798080 is an equidigital number, since it uses as much as digits as its factorization.

106704364798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 106704364798080 in words is "one hundred six trillion, seven hundred four billion, three hundred sixty-four million, seven hundred ninety-eight thousand, eighty".