106684896818304 has 320 divisors, whose sum is σ = 362907422338560. Its totient is φ = 30476457639936.

The previous prime is 106684896818299. The next prime is 106684896818371. The reversal of 106684896818304 is 403818698486601.

106684896818304 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 489 + 68 + 1 + 83 + 0 + 4 = 666.

It is a super-2 number, since 2×106684896818304² (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 39 ways as a sum of consecutive naturals, for example, 459798129 + ... + 460030095.

It is an arithmetic number, because the mean of its divisors is an integer number (1134085694808).

Almost surely, 2^{106684896818304} is an apocalyptic number.

106684896818304 is a gapful number since it is divisible by the number (14) 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 106684896818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181453711169280).

106684896818304 is an abundant number, since it is smaller than the sum of its proper divisors (256222525520256).

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

106684896818304 is an equidigital number, since it uses as much as digits as its factorization.

106684896818304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238337 (or 238316 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 106684896818304 in words is "one hundred six trillion, six hundred eighty-four billion, eight hundred ninety-six million, eight hundred eighteen thousand, three hundred four".