106868341771776 has 600 divisors, whose sum is σ = 346367996274960. Its totient is φ = 32790199762944.

The previous prime is 106868341771771. The next prime is 106868341771781. The reversal of 106868341771776 is 677177143868601.

106868341771776 is a `hidden beast` number, since 1 + 0 + 68 + 6 + 83 + 417 + 7 + 1 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (106868341771771) and next prime (106868341771781).

It is a super-2 number, since 2×106868341771776² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106868341771771) 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 59 ways as a sum of consecutive naturals, for example, 2516126476 + ... + 2516168948.

Almost surely, 2^{106868341771776} is an apocalyptic number.

106868341771776 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 106868341771776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173183998137480).

106868341771776 is an abundant number, since it is smaller than the sum of its proper divisors (239499654503184).

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

106868341771776 is an equidigital number, since it uses as much as digits as its factorization.

106868341771776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42888 (or 42850 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 106868341771776 in words is "one hundred six trillion, eight hundred sixty-eight billion, three hundred forty-one million, seven hundred seventy-one thousand, seven hundred seventy-six".