106782033387456 has 504 divisors, whose sum is σ = 364623836688384. Its totient is φ = 29237972751360.

The previous prime is 106782033387443. The next prime is 106782033387457. The reversal of 106782033387456 is 654783330287601.

106782033387456 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 203 + 3 + 387 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×106782033387456² (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 = 106782033387393 and 106782033387402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106782033387457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1325999865 + ... + 1326080391.

Almost surely, 2^{106782033387456} is an apocalyptic number.

106782033387456 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 106782033387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182311918344192).

106782033387456 is an abundant number, since it is smaller than the sum of its proper divisors (257841803300928).

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

106782033387456 is a wasteful number, since it uses less digits than its factorization.

106782033387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80789 (or 80673 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 106782033387456 in words is "one hundred six trillion, seven hundred eighty-two billion, thirty-three million, three hundred eighty-seven thousand, four hundred fifty-six".