106778712228480 has 384 divisors, whose sum is σ = 371562470248320. Its totient is φ = 28255464382464.

The previous prime is 106778712228479. The next prime is 106778712228499. The reversal of 106778712228480 is 84822217877601.

106778712228480 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 7 + 8 + 7 + 122 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106778712228480² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 521056597 + ... + 521261483.

It is an arithmetic number, because the mean of its divisors is an integer number (967610599605).

Almost surely, 2^{106778712228480} is an apocalyptic number.

106778712228480 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 106778712228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185781235124160).

106778712228480 is an abundant number, since it is smaller than the sum of its proper divisors (264783758019840).

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

106778712228480 is a wasteful number, since it uses less digits than its factorization.

106778712228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205608 (or 205593 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 106778712228480 in words is "one hundred six trillion, seven hundred seventy-eight billion, seven hundred twelve million, two hundred twenty-eight thousand, four hundred eighty".