106781906282688 has 1008 divisors, whose sum is σ = 406141773017344. Its totient is φ = 26109802414080.

The previous prime is 106781906282659. The next prime is 106781906282719. The reversal of 106781906282688 is 886282609187601.

106781906282688 is a `hidden beast` number, since 10 + 6 + 78 + 190 + 6 + 282 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106781906282688² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1014878403 + ... + 1014983613.

Almost surely, 2^{106781906282688} is an apocalyptic number.

106781906282688 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 106781906282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203070886508672).

106781906282688 is an abundant number, since it is smaller than the sum of its proper divisors (299359866734656).

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

106781906282688 is a wasteful number, since it uses less digits than its factorization.

106781906282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105350 (or 105320 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 106781906282688 in words is "one hundred six trillion, seven hundred eighty-one billion, nine hundred six million, two hundred eighty-two thousand, six hundred eighty-eight".