101688768 has 84 divisors (see below), whose sum is σ = 297061128. Its totient is φ = 33246720.

The previous prime is 101688767. The next prime is 101688791. The reversal of 101688768 is 867886101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101688767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28863 + ... + 32193.

It is an arithmetic number, because the mean of its divisors is an integer number (3536442).

Almost surely, 2^101688768 is an apocalyptic number.

101688768 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 101688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148530564).

101688768 is an abundant number, since it is smaller than the sum of its proper divisors (195372360).

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

101688768 is a wasteful number, since it uses less digits than its factorization.

101688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 101688768 is about 10084.0848865923. The cubic root of 101688768 is about 466.7571670287.

The spelling of 101688768 in words is "one hundred one million, six hundred eighty-eight thousand, seven hundred sixty-eight".