106759008165888 has 672 divisors, whose sum is σ = 338065349207040. Its totient is φ = 32264552448000.

The previous prime is 106759008165881. The next prime is 106759008165917. The reversal of 106759008165888 is 888561800957601.

106759008165888 is a `hidden beast` number, since 10 + 6 + 7 + 590 + 0 + 8 + 16 + 5 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×106759008165888² (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 not an unprimeable number, because it can be changed into a prime (106759008165881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17561932833 + ... + 17561938911.

It is an arithmetic number, because the mean of its divisors is an integer number (503073436320).

Almost surely, 2^{106759008165888} is an apocalyptic number.

106759008165888 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 106759008165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169032674603520).

106759008165888 is an abundant number, since it is smaller than the sum of its proper divisors (231306341041152).

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

106759008165888 is a wasteful number, since it uses less digits than its factorization.

106759008165888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 72.

The spelling of 106759008165888 in words is "one hundred six trillion, seven hundred fifty-nine billion, eight million, one hundred sixty-five thousand, eight hundred eighty-eight".