106618981708800 has 3696 divisors, whose sum is σ = 463106156308992. Its totient is φ = 24040754380800.

The previous prime is 106618981708751. The next prime is 106618981708831. The reversal of 106618981708800 is 8807189816601.

106618981708800 is a `hidden beast` number, since 1 + 0 + 6 + 618 + 9 + 8 + 1 + 7 + 0 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×106618981708800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 478112025489 + ... + 478112025711.

Almost surely, 2^{106618981708800} is an apocalyptic number.

106618981708800 is a gapful number since it is divisible by the number (10) 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 106618981708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231553078154496).

106618981708800 is an abundant number, since it is smaller than the sum of its proper divisors (356487174600192).

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

106618981708800 is a wasteful number, since it uses less digits than its factorization.

106618981708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 106618981708800 in words is "one hundred six trillion, six hundred eighteen billion, nine hundred eighty-one million, seven hundred eight thousand, eight hundred".