106335881710848 has 432 divisors, whose sum is σ = 336284453546496. Its totient is φ = 32169956474880.

The previous prime is 106335881710843. The next prime is 106335881710859. The reversal of 106335881710848 is 848017188533601.

106335881710848 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 588 + 1 + 7 + 1 + 0 + 8 + 48 = 666.

It is a super-2 number, since 2×106335881710848² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106335881710843) 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, 343466136 + ... + 343775592.

Almost surely, 2^{106335881710848} is an apocalyptic number.

106335881710848 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 106335881710848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168142226773248).

106335881710848 is an abundant number, since it is smaller than the sum of its proper divisors (229948571835648).

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

106335881710848 is a wasteful number, since it uses less digits than its factorization.

106335881710848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309810 (or 309793 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 106335881710848 in words is "one hundred six trillion, three hundred thirty-five billion, eight hundred eighty-one million, seven hundred ten thousand, eight hundred forty-eight".