106482739968 has 432 divisors, whose sum is σ = 353163562752. Its totient is φ = 31726080000.

The previous prime is 106482739963. The next prime is 106482739969. The reversal of 106482739968 is 869937284601.

106482739968 is a `hidden beast` number, since 1 + 0 + 6 + 482 + 7 + 3 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106482739968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106482739963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41740293 + ... + 41742843.

Almost surely, 2^106482739968 is an apocalyptic number.

106482739968 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 106482739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176581781376).

106482739968 is an abundant number, since it is smaller than the sum of its proper divisors (246680822784).

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

106482739968 is an equidigital number, since it uses as much as digits as its factorization.

106482739968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 106482739968 in words is "one hundred six billion, four hundred eighty-two million, seven hundred thirty-nine thousand, nine hundred sixty-eight".