106088116607704 has 256 divisors, whose sum is σ = 276707902464000. Its totient is φ = 36814054901760.

The previous prime is 106088116607689. The next prime is 106088116607729. The reversal of 106088116607704 is 407706611880601.

It is a super-2 number, since 2×106088116607704² (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 63 ways as a sum of consecutive naturals, for example, 182561499 + ... + 183141685.

It is an arithmetic number, because the mean of its divisors is an integer number (1080890244000).

Almost surely, 2^{106088116607704} is an apocalyptic number.

106088116607704 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 106088116607704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138353951232000).

106088116607704 is an abundant number, since it is smaller than the sum of its proper divisors (170619785856296).

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

106088116607704 is a wasteful number, since it uses less digits than its factorization.

106088116607704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581166 (or 581162 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 106088116607704 in words is "one hundred six trillion, eighty-eight billion, one hundred sixteen million, six hundred seven thousand, seven hundred four".