106843309163712 has 2240 divisors, whose sum is σ = 383893722432000. Its totient is φ = 29262016143360.

The previous prime is 106843309163711. The next prime is 106843309163753. The reversal of 106843309163712 is 217361903348601.

106843309163712 is a `hidden beast` number, since 1 + 0 + 6 + 84 + 330 + 9 + 163 + 71 + 2 = 666.

It is a super-2 number, since 2×106843309163712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106843309163711) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 596889995239 + ... + 596889995417.

Almost surely, 2^{106843309163712} is an apocalyptic number.

106843309163712 is a gapful number since it is divisible by the number (12) 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 106843309163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191946861216000).

106843309163712 is an abundant number, since it is smaller than the sum of its proper divisors (277050413268288).

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

106843309163712 is a wasteful number, since it uses less digits than its factorization.

106843309163712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 106843309163712 in words is "one hundred six trillion, eight hundred forty-three billion, three hundred nine million, one hundred sixty-three thousand, seven hundred twelve".