106897778528256 has 208 divisors, whose sum is σ = 317159401878720. Its totient is φ = 35580396994560.

The previous prime is 106897778528201. The next prime is 106897778528257. The reversal of 106897778528256 is 652825877798601.

106897778528256 is a `hidden beast` number, since 1 + 0 + 6 + 89 + 7 + 7 + 7 + 8 + 528 + 2 + 5 + 6 = 666.

106897778528256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106897778528256² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106897778528257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74826726 + ... + 76241946.

Almost surely, 2^{106897778528256} is an apocalyptic number.

106897778528256 is a gapful number since it is divisible by the number (16) 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 106897778528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158579700939360).

106897778528256 is an abundant number, since it is smaller than the sum of its proper divisors (210261623350464).

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

106897778528256 is an equidigital number, since it uses as much as digits as its factorization.

106897778528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415937 (or 1415909 counting only the distinct ones).

The product of its (nonzero) digits is 5689958400, while the sum is 81.

The spelling of 106897778528256 in words is "one hundred six trillion, eight hundred ninety-seven billion, seven hundred seventy-eight million, five hundred twenty-eight thousand, two hundred fifty-six".