106657077888 has 768 divisors, whose sum is σ = 353666476800. Its totient is φ = 31882346496.

The previous prime is 106657077881. The next prime is 106657077893. The reversal of 106657077888 is 888770756601.

It is a super-2 number, since 2×106657077888² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106657077881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099557456 + ... + 1099557552.

It is an arithmetic number, because the mean of its divisors is an integer number (460503225).

Almost surely, 2^106657077888 is an apocalyptic number.

106657077888 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 106657077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176833238400).

106657077888 is an abundant number, since it is smaller than the sum of its proper divisors (247009398912).

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

106657077888 is an equidigital number, since it uses as much as digits as its factorization.

106657077888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 106657077888 in words is "one hundred six billion, six hundred fifty-seven million, seventy-seven thousand, eight hundred eighty-eight".