106778713632768 has 416 divisors, whose sum is σ = 328807971072000. Its totient is φ = 34213585158144.

The previous prime is 106778713632749. The next prime is 106778713632781. The reversal of 106778713632768 is 867236317877601.

106778713632768 is a `hidden beast` number, since 1 + 0 + 67 + 78 + 71 + 363 + 2 + 76 + 8 = 666.

It is a super-2 number, since 2×106778713632768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106778713632696 and 106778713632705.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 339470833 + ... + 339785231.

Almost surely, 2^{106778713632768} is an apocalyptic number.

106778713632768 is a gapful number since it is divisible by the number (18) 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 106778713632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164403985536000).

106778713632768 is an abundant number, since it is smaller than the sum of its proper divisors (222029257439232).

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

106778713632768 is an equidigital number, since it uses as much as digits as its factorization.

106778713632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314552 (or 314524 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 106778713632768 in words is "one hundred six trillion, seven hundred seventy-eight billion, seven hundred thirteen million, six hundred thirty-two thousand, seven hundred sixty-eight".