106304014134016 has 72 divisors (see below), whose sum is σ = 215983880053200. Its totient is φ = 52204001832960.

The previous prime is 106304014134013. The next prime is 106304014134067. The reversal of 106304014134016 is 610431410403601.

It is a super-3 number, since 3×106304014134016³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106304014134013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13577146 + ... + 19923526.

It is an arithmetic number, because the mean of its divisors is an integer number (2999776111850).

Almost surely, 2^{106304014134016} is an apocalyptic number.

106304014134016 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 106304014134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107991940026600).

106304014134016 is an abundant number, since it is smaller than the sum of its proper divisors (109679865919184).

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

106304014134016 is an equidigital number, since it uses as much as digits as its factorization.

106304014134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347565 (or 6347551 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 106304014134016 its reverse (610431410403601), we get a palindrome (716735424537617).

The spelling of 106304014134016 in words is "one hundred six trillion, three hundred four billion, fourteen million, one hundred thirty-four thousand, sixteen".